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Simplifying 3(4 + -1x) = 8(x + -4) (4 * 3 + -1x * 3) = 8(x + -4) (12 + -3x) = 8(x + -4) Reorder the terms: 12 + -3x = 8(-4 + x) 12 + -3x = (-4 * 8 + x * 8) 12 + -3x = (-32 + 8x) Solving 12 + -3x = -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 + -3x + -8x = -32 + 8x + -8x Combine like terms: -3x + -8x = -11x 12 + -11x = -32 + 8x + -8x Combine like terms: 8x + -8x = 0 12 + -11x = -32 + 0 12 + -11x = -32 Add '-12' to each side of the equation. 12 + -12 + -11x = -32 + -12 Combine like terms: 12 + -12 = 0 0 + -11x = -32 + -12 -11x = -32 + -12 Combine like terms: -32 + -12 = -44 -11x = -44 Divide each side by '-11'. x = 4 Simplifying x = 4
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