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Simplifying -4(x + -2) = 4(3 + -2x) Reorder the terms: -4(-2 + x) = 4(3 + -2x) (-2 * -4 + x * -4) = 4(3 + -2x) (8 + -4x) = 4(3 + -2x) 8 + -4x = (3 * 4 + -2x * 4) 8 + -4x = (12 + -8x) Solving 8 + -4x = 12 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 8 + -4x + 8x = 12 + -8x + 8x Combine like terms: -4x + 8x = 4x 8 + 4x = 12 + -8x + 8x Combine like terms: -8x + 8x = 0 8 + 4x = 12 + 0 8 + 4x = 12 Add '-8' to each side of the equation. 8 + -8 + 4x = 12 + -8 Combine like terms: 8 + -8 = 0 0 + 4x = 12 + -8 4x = 12 + -8 Combine like terms: 12 + -8 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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