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