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Simplifying 4(6 + -3x) = -2(x + 6) (6 * 4 + -3x * 4) = -2(x + 6) (24 + -12x) = -2(x + 6) Reorder the terms: 24 + -12x = -2(6 + x) 24 + -12x = (6 * -2 + x * -2) 24 + -12x = (-12 + -2x) Solving 24 + -12x = -12 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 24 + -12x + 2x = -12 + -2x + 2x Combine like terms: -12x + 2x = -10x 24 + -10x = -12 + -2x + 2x Combine like terms: -2x + 2x = 0 24 + -10x = -12 + 0 24 + -10x = -12 Add '-24' to each side of the equation. 24 + -24 + -10x = -12 + -24 Combine like terms: 24 + -24 = 0 0 + -10x = -12 + -24 -10x = -12 + -24 Combine like terms: -12 + -24 = -36 -10x = -36 Divide each side by '-10'. x = 3.6 Simplifying x = 3.6
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