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Simplifying -3(4x + -8) = 2(-4x + 10) Reorder the terms: -3(-8 + 4x) = 2(-4x + 10) (-8 * -3 + 4x * -3) = 2(-4x + 10) (24 + -12x) = 2(-4x + 10) Reorder the terms: 24 + -12x = 2(10 + -4x) 24 + -12x = (10 * 2 + -4x * 2) 24 + -12x = (20 + -8x) Solving 24 + -12x = 20 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 24 + -12x + 8x = 20 + -8x + 8x Combine like terms: -12x + 8x = -4x 24 + -4x = 20 + -8x + 8x Combine like terms: -8x + 8x = 0 24 + -4x = 20 + 0 24 + -4x = 20 Add '-24' to each side of the equation. 24 + -24 + -4x = 20 + -24 Combine like terms: 24 + -24 = 0 0 + -4x = 20 + -24 -4x = 20 + -24 Combine like terms: 20 + -24 = -4 -4x = -4 Divide each side by '-4'. x = 1 Simplifying x = 1
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