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Simplifying -4(3 + -1x) = 2(x + 6) (3 * -4 + -1x * -4) = 2(x + 6) (-12 + 4x) = 2(x + 6) Reorder the terms: -12 + 4x = 2(6 + x) -12 + 4x = (6 * 2 + x * 2) -12 + 4x = (12 + 2x) Solving -12 + 4x = 12 + 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. -12 + 4x + -2x = 12 + 2x + -2x Combine like terms: 4x + -2x = 2x -12 + 2x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + 2x = 12 + 0 -12 + 2x = 12 Add '12' to each side of the equation. -12 + 12 + 2x = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 2x = 12 + 12 2x = 12 + 12 Combine like terms: 12 + 12 = 24 2x = 24 Divide each side by '2'. x = 12 Simplifying x = 12
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