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Simplifying (x + -2)((x + 10) + -1x) = 416 Reorder the terms: (-2 + x)((x + 10) + -1x) = 416 Reorder the terms: (-2 + x)((10 + x) + -1x) = 416 Remove parenthesis around (10 + x) (-2 + x)(10 + x + -1x) = 416 Combine like terms: x + -1x = 0 (-2 + x)(10 + 0) = 416 (-2 + x)(10) = 416 Reorder the terms for easier multiplication: 10(-2 + x) = 416 (-2 * 10 + x * 10) = 416 (-20 + 10x) = 416 Solving -20 + 10x = 416 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 10x = 416 + 20 Combine like terms: -20 + 20 = 0 0 + 10x = 416 + 20 10x = 416 + 20 Combine like terms: 416 + 20 = 436 10x = 436 Divide each side by '10'. x = 43.6 Simplifying x = 43.6
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