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Simplifying 3(2 + -2x) = 4(-2x + -6) (2 * 3 + -2x * 3) = 4(-2x + -6) (6 + -6x) = 4(-2x + -6) Reorder the terms: 6 + -6x = 4(-6 + -2x) 6 + -6x = (-6 * 4 + -2x * 4) 6 + -6x = (-24 + -8x) Solving 6 + -6x = -24 + -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. 6 + -6x + 8x = -24 + -8x + 8x Combine like terms: -6x + 8x = 2x 6 + 2x = -24 + -8x + 8x Combine like terms: -8x + 8x = 0 6 + 2x = -24 + 0 6 + 2x = -24 Add '-6' to each side of the equation. 6 + -6 + 2x = -24 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = -24 + -6 2x = -24 + -6 Combine like terms: -24 + -6 = -30 2x = -30 Divide each side by '2'. x = -15 Simplifying x = -15
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