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LaynaMae
 one year ago
Best ResponseYou've already chosen the best response.1Simplifying 2(x + 5) + 1x(x + 1) = x(2 + 1x) Reorder the terms: 2(5 + x) + 1x(x + 1) = x(2 + 1x) (5 * 2 + x * 2) + 1x(x + 1) = x(2 + 1x) (10 + 2x) + 1x(x + 1) = x(2 + 1x) Reorder the terms: 10 + 2x + 1x(1 + x) = x(2 + 1x) 10 + 2x + (1 * 1x + x * 1x) = x(2 + 1x) 10 + 2x + (1x + 1x2) = x(2 + 1x) Combine like terms: 2x + 1x = 1x 10 + 1x + 1x2 = x(2 + 1x) 10 + 1x + 1x2 = (2 * x + 1x * x) 10 + 1x + 1x2 = (2x + 1x2) Add 'x2' to each side of the equation. 10 + 1x + 1x2 + x2 = 2x + 1x2 + x2 Combine like terms: 1x2 + x2 = 0 10 + 1x + 0 = 2x + 1x2 + x2 10 + 1x = 2x + 1x2 + x2 Combine like terms: 1x2 + x2 = 0 10 + 1x = 2x + 0 10 + 1x = 2x Solving 10 + 1x = 2x Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 10 + 1x + 2x = 2x + 2x Combine like terms: 1x + 2x = 1x 10 + 1x = 2x + 2x Combine like terms: 2x + 2x = 0 10 + 1x = 0 Add '10' to each side of the equation. 10 + 10 + 1x = 0 + 10 Combine like terms: 10 + 10 = 0 0 + 1x = 0 + 10 1x = 0 + 10 Combine like terms: 0 + 10 = 10 1x = 10 Divide each side by '1'. x = 10 Simplifying x = 10
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