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Simplifying -2(2x + -4) = 3(-12x + 24) Reorder the terms: -2(-4 + 2x) = 3(-12x + 24) (-4 * -2 + 2x * -2) = 3(-12x + 24) (8 + -4x) = 3(-12x + 24) Reorder the terms: 8 + -4x = 3(24 + -12x) 8 + -4x = (24 * 3 + -12x * 3) 8 + -4x = (72 + -36x) Solving 8 + -4x = 72 + -36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36x' to each side of the equation. 8 + -4x + 36x = 72 + -36x + 36x Combine like terms: -4x + 36x = 32x 8 + 32x = 72 + -36x + 36x Combine like terms: -36x + 36x = 0 8 + 32x = 72 + 0 8 + 32x = 72 Add '-8' to each side of the equation. 8 + -8 + 32x = 72 + -8 Combine like terms: 8 + -8 = 0 0 + 32x = 72 + -8 32x = 72 + -8 Combine like terms: 72 + -8 = 64 32x = 64 Divide each side by '32'. x = 2 Simplifying x = 2
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