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Simplifying -4(x + -2) = 3(2 + -1x) Reorder the terms: -4(-2 + x) = 3(2 + -1x) (-2 * -4 + x * -4) = 3(2 + -1x) (8 + -4x) = 3(2 + -1x) 8 + -4x = (2 * 3 + -1x * 3) 8 + -4x = (6 + -3x) Solving 8 + -4x = 6 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 8 + -4x + 3x = 6 + -3x + 3x Combine like terms: -4x + 3x = -1x 8 + -1x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 8 + -1x = 6 + 0 8 + -1x = 6 Add '-8' to each side of the equation. 8 + -8 + -1x = 6 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 6 + -8 -1x = 6 + -8 Combine like terms: 6 + -8 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2
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