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Simplifying 4(3x + 6) = 8(-6x + -3) Reorder the terms: 4(6 + 3x) = 8(-6x + -3) (6 * 4 + 3x * 4) = 8(-6x + -3) (24 + 12x) = 8(-6x + -3) Reorder the terms: 24 + 12x = 8(-3 + -6x) 24 + 12x = (-3 * 8 + -6x * 8) 24 + 12x = (-24 + -48x) Solving 24 + 12x = -24 + -48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '48x' to each side of the equation. 24 + 12x + 48x = -24 + -48x + 48x Combine like terms: 12x + 48x = 60x 24 + 60x = -24 + -48x + 48x Combine like terms: -48x + 48x = 0 24 + 60x = -24 + 0 24 + 60x = -24 Add '-24' to each side of the equation. 24 + -24 + 60x = -24 + -24 Combine like terms: 24 + -24 = 0 0 + 60x = -24 + -24 60x = -24 + -24 Combine like terms: -24 + -24 = -48 60x = -48 Divide each side by '60'. x = -0.8 Simplifying x = -0.8
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