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