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Simplifying -3(2x + -4) = -4(4x + -8) Reorder the terms: -3(-4 + 2x) = -4(4x + -8) (-4 * -3 + 2x * -3) = -4(4x + -8) (12 + -6x) = -4(4x + -8) Reorder the terms: 12 + -6x = -4(-8 + 4x) 12 + -6x = (-8 * -4 + 4x * -4) 12 + -6x = (32 + -16x) Solving 12 + -6x = 32 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 12 + -6x + 16x = 32 + -16x + 16x Combine like terms: -6x + 16x = 10x 12 + 10x = 32 + -16x + 16x Combine like terms: -16x + 16x = 0 12 + 10x = 32 + 0 12 + 10x = 32 Add '-12' to each side of the equation. 12 + -12 + 10x = 32 + -12 Combine like terms: 12 + -12 = 0 0 + 10x = 32 + -12 10x = 32 + -12 Combine like terms: 32 + -12 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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