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Simplifying (7 + 3) + x(x + -1) = x(x + -2) Combine like terms: 7 + 3 = 10 (10) + x(x + -1) = x(x + -2) 10 + x(x + -1) = x(x + -2) Reorder the terms: 10 + x(-1 + x) = x(x + -2) 10 + (-1 * x + x * x) = x(x + -2) 10 + (-1x + x2) = x(x + -2) Reorder the terms: 10 + -1x + x2 = x(-2 + x) 10 + -1x + x2 = (-2 * x + x * x) 10 + -1x + x2 = (-2x + x2) Add '-1x2' to each side of the equation. 10 + -1x + x2 + -1x2 = -2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 10 + -1x + 0 = -2x + x2 + -1x2 10 + -1x = -2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 10 + -1x = -2x + 0 10 + -1x = -2x Solving 10 + -1x = -2x Solving for variable 'x'. 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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