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Simplifying -4(x + -3) = 32 + -8x Reorder the terms: -4(-3 + x) = 32 + -8x (-3 * -4 + x * -4) = 32 + -8x (12 + -4x) = 32 + -8x Solving 12 + -4x = 32 + -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. 12 + -4x + 8x = 32 + -8x + 8x Combine like terms: -4x + 8x = 4x 12 + 4x = 32 + -8x + 8x Combine like terms: -8x + 8x = 0 12 + 4x = 32 + 0 12 + 4x = 32 Add '-12' to each side of the equation. 12 + -12 + 4x = 32 + -12 Combine like terms: 12 + -12 = 0 0 + 4x = 32 + -12 4x = 32 + -12 Combine like terms: 32 + -12 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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