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Simplifying 2(x + 12) + -2x = 3(x + -4) Reorder the terms: 2(12 + x) + -2x = 3(x + -4) (12 * 2 + x * 2) + -2x = 3(x + -4) (24 + 2x) + -2x = 3(x + -4) Combine like terms: 2x + -2x = 0 24 + 0 = 3(x + -4) 24 = 3(x + -4) Reorder the terms: 24 = 3(-4 + x) 24 = (-4 * 3 + x * 3) 24 = (-12 + 3x) Solving 24 = -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. 24 + -3x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 24 + -3x = -12 + 0 24 + -3x = -12 Add '-24' to each side of the equation. 24 + -24 + -3x = -12 + -24 Combine like terms: 24 + -24 = 0 0 + -3x = -12 + -24 -3x = -12 + -24 Combine like terms: -12 + -24 = -36 -3x = -36 Divide each side by '-3'. x = 12 Simplifying x = 12
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