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Simplifying -3(4x + -8) = -2(x + 3) Reorder the terms: -3(-8 + 4x) = -2(x + 3) (-8 * -3 + 4x * -3) = -2(x + 3) (24 + -12x) = -2(x + 3) Reorder the terms: 24 + -12x = -2(3 + x) 24 + -12x = (3 * -2 + x * -2) 24 + -12x = (-6 + -2x) Solving 24 + -12x = -6 + -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 = -6 + -2x + 2x Combine like terms: -12x + 2x = -10x 24 + -10x = -6 + -2x + 2x Combine like terms: -2x + 2x = 0 24 + -10x = -6 + 0 24 + -10x = -6 Add '-24' to each side of the equation. 24 + -24 + -10x = -6 + -24 Combine like terms: 24 + -24 = 0 0 + -10x = -6 + -24 -10x = -6 + -24 Combine like terms: -6 + -24 = -30 -10x = -30 Divide each side by '-10'. x = 3 Simplifying x = 3
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