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Simplifying 4(-2x + 2) = 12 + -6x Reorder the terms: 4(2 + -2x) = 12 + -6x (2 * 4 + -2x * 4) = 12 + -6x (8 + -8x) = 12 + -6x Solving 8 + -8x = 12 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 8 + -8x + 6x = 12 + -6x + 6x Combine like terms: -8x + 6x = -2x 8 + -2x = 12 + -6x + 6x Combine like terms: -6x + 6x = 0 8 + -2x = 12 + 0 8 + -2x = 12 Add '-8' to each side of the equation. 8 + -8 + -2x = 12 + -8 Combine like terms: 8 + -8 = 0 0 + -2x = 12 + -8 -2x = 12 + -8 Combine like terms: 12 + -8 = 4 -2x = 4 Divide each side by '-2'. x = -2 Simplifying x = -2
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