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Simplifying -3(x + -4) = 4(8 + -1x) Reorder the terms: -3(-4 + x) = 4(8 + -1x) (-4 * -3 + x * -3) = 4(8 + -1x) (12 + -3x) = 4(8 + -1x) 12 + -3x = (8 * 4 + -1x * 4) 12 + -3x = (32 + -4x) Solving 12 + -3x = 32 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 12 + -3x + 4x = 32 + -4x + 4x Combine like terms: -3x + 4x = 1x 12 + 1x = 32 + -4x + 4x Combine like terms: -4x + 4x = 0 12 + 1x = 32 + 0 12 + 1x = 32 Add '-12' to each side of the equation. 12 + -12 + 1x = 32 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 32 + -12 1x = 32 + -12 Combine like terms: 32 + -12 = 20 1x = 20 Divide each side by '1'. x = 20 Simplifying x = 20
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