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