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Simplifying -3(x + 2) = 4(3 + -1x) Reorder the terms: -3(2 + x) = 4(3 + -1x) (2 * -3 + x * -3) = 4(3 + -1x) (-6 + -3x) = 4(3 + -1x) -6 + -3x = (3 * 4 + -1x * 4) -6 + -3x = (12 + -4x) Solving -6 + -3x = 12 + -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. -6 + -3x + 4x = 12 + -4x + 4x Combine like terms: -3x + 4x = 1x -6 + 1x = 12 + -4x + 4x Combine like terms: -4x + 4x = 0 -6 + 1x = 12 + 0 -6 + 1x = 12 Add '6' to each side of the equation. -6 + 6 + 1x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = 12 + 6 1x = 12 + 6 Combine like terms: 12 + 6 = 18 1x = 18 Divide each side by '1'. x = 18 Simplifying x = 18
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