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Simplifying 2(x + -5) + -5(x + -2) = x + 9 + -1(x + -9) Reorder the terms: 2(-5 + x) + -5(x + -2) = x + 9 + -1(x + -9) (-5 * 2 + x * 2) + -5(x + -2) = x + 9 + -1(x + -9) (-10 + 2x) + -5(x + -2) = x + 9 + -1(x + -9) Reorder the terms: -10 + 2x + -5(-2 + x) = x + 9 + -1(x + -9) -10 + 2x + (-2 * -5 + x * -5) = x + 9 + -1(x + -9) -10 + 2x + (10 + -5x) = x + 9 + -1(x + -9) Reorder the terms: -10 + 10 + 2x + -5x = x + 9 + -1(x + -9) Combine like terms: -10 + 10 = 0 0 + 2x + -5x = x + 9 + -1(x + -9) 2x + -5x = x + 9 + -1(x + -9) Combine like terms: 2x + -5x = -3x -3x = x + 9 + -1(x + -9) Reorder the terms: -3x = x + 9 + -1(-9 + x) -3x = x + 9 + (-9 * -1 + x * -1) -3x = x + 9 + (9 + -1x) Reorder the terms: -3x = 9 + 9 + x + -1x Combine like terms: 9 + 9 = 18 -3x = 18 + x + -1x Combine like terms: x + -1x = 0 -3x = 18 + 0 -3x = 18 Solving -3x = 18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '-3'. x = -6 Simplifying x = -6
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