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Simplifying 5(x + -2) + -2(x + -5) = 2x + -1(12 + 3x) Reorder the terms: 5(-2 + x) + -2(x + -5) = 2x + -1(12 + 3x) (-2 * 5 + x * 5) + -2(x + -5) = 2x + -1(12 + 3x) (-10 + 5x) + -2(x + -5) = 2x + -1(12 + 3x) Reorder the terms: -10 + 5x + -2(-5 + x) = 2x + -1(12 + 3x) -10 + 5x + (-5 * -2 + x * -2) = 2x + -1(12 + 3x) -10 + 5x + (10 + -2x) = 2x + -1(12 + 3x) Reorder the terms: -10 + 10 + 5x + -2x = 2x + -1(12 + 3x) Combine like terms: -10 + 10 = 0 0 + 5x + -2x = 2x + -1(12 + 3x) 5x + -2x = 2x + -1(12 + 3x) Combine like terms: 5x + -2x = 3x 3x = 2x + -1(12 + 3x) 3x = 2x + (12 * -1 + 3x * -1) 3x = 2x + (-12 + -3x) Reorder the terms: 3x = -12 + 2x + -3x Combine like terms: 2x + -3x = -1x 3x = -12 + -1x Solving 3x = -12 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 3x + x = -12 + -1x + x Combine like terms: 3x + x = 4x 4x = -12 + -1x + x Combine like terms: -1x + x = 0 4x = -12 + 0 4x = -12 Divide each side by '4'. x = -3 Simplifying x = -3
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