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Simplifying 3(x + -4) = 2(2x + -1) Reorder the terms: 3(-4 + x) = 2(2x + -1) (-4 * 3 + x * 3) = 2(2x + -1) (-12 + 3x) = 2(2x + -1) Reorder the terms: -12 + 3x = 2(-1 + 2x) -12 + 3x = (-1 * 2 + 2x * 2) -12 + 3x = (-2 + 4x) Solving -12 + 3x = -2 + 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 = -2 + 4x + -4x Combine like terms: 3x + -4x = -1x -12 + -1x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + -1x = -2 + 0 -12 + -1x = -2 Add '12' to each side of the equation. -12 + 12 + -1x = -2 + 12 Combine like terms: -12 + 12 = 0 0 + -1x = -2 + 12 -1x = -2 + 12 Combine like terms: -2 + 12 = 10 -1x = 10 Divide each side by '-1'. x = -10 Simplifying x = -10
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