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Simplifying 3(x + -2) = -2(x + -12) Reorder the terms: 3(-2 + x) = -2(x + -12) (-2 * 3 + x * 3) = -2(x + -12) (-6 + 3x) = -2(x + -12) Reorder the terms: -6 + 3x = -2(-12 + x) -6 + 3x = (-12 * -2 + x * -2) -6 + 3x = (24 + -2x) Solving -6 + 3x = 24 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -6 + 3x + 2x = 24 + -2x + 2x Combine like terms: 3x + 2x = 5x -6 + 5x = 24 + -2x + 2x Combine like terms: -2x + 2x = 0 -6 + 5x = 24 + 0 -6 + 5x = 24 Add '6' to each side of the equation. -6 + 6 + 5x = 24 + 6 Combine like terms: -6 + 6 = 0 0 + 5x = 24 + 6 5x = 24 + 6 Combine like terms: 24 + 6 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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