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Simplifying 2(x + -12) + -2x = 3(x + -2) Reorder the terms: 2(-12 + x) + -2x = 3(x + -2) (-12 * 2 + x * 2) + -2x = 3(x + -2) (-24 + 2x) + -2x = 3(x + -2) Combine like terms: 2x + -2x = 0 -24 + 0 = 3(x + -2) -24 = 3(x + -2) Reorder the terms: -24 = 3(-2 + x) -24 = (-2 * 3 + x * 3) -24 = (-6 + 3x) Solving -24 = -6 + 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 = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 -24 + -3x = -6 + 0 -24 + -3x = -6 Add '24' to each side of the equation. -24 + 24 + -3x = -6 + 24 Combine like terms: -24 + 24 = 0 0 + -3x = -6 + 24 -3x = -6 + 24 Combine like terms: -6 + 24 = 18 -3x = 18 Divide each side by '-3'. x = -6 Simplifying x = -6
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