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Simplifying 3(x + -4) = 2(2x + -4) Reorder the terms: 3(-4 + x) = 2(2x + -4) (-4 * 3 + x * 3) = 2(2x + -4) (-12 + 3x) = 2(2x + -4) Reorder the terms: -12 + 3x = 2(-4 + 2x) -12 + 3x = (-4 * 2 + 2x * 2) -12 + 3x = (-8 + 4x) Solving -12 + 3x = -8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -12 + 3x + -4x = -8 + 4x + -4x Combine like terms: 3x + -4x = -1x -12 + -1x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + -1x = -8 + 0 -12 + -1x = -8 Add '12' to each side of the equation. -12 + 12 + -1x = -8 + 12 Combine like terms: -12 + 12 = 0 0 + -1x = -8 + 12 -1x = -8 + 12 Combine like terms: -8 + 12 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4
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