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Simplifying 0.25(12 + -8x) = 4(-2x + -6) (12 * 0.25 + -8x * 0.25) = 4(-2x + -6) (3 + -2x) = 4(-2x + -6) Reorder the terms: 3 + -2x = 4(-6 + -2x) 3 + -2x = (-6 * 4 + -2x * 4) 3 + -2x = (-24 + -8x) Solving 3 + -2x = -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. 3 + -2x + 8x = -24 + -8x + 8x Combine like terms: -2x + 8x = 6x 3 + 6x = -24 + -8x + 8x Combine like terms: -8x + 8x = 0 3 + 6x = -24 + 0 3 + 6x = -24 Add '-3' to each side of the equation. 3 + -3 + 6x = -24 + -3 Combine like terms: 3 + -3 = 0 0 + 6x = -24 + -3 6x = -24 + -3 Combine like terms: -24 + -3 = -27 6x = -27 Divide each side by '6'. x = -4.5 Simplifying x = -4.5
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