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Simplifying 3(1 + -4x) + -1x = -8(x + 4) (1 * 3 + -4x * 3) + -1x = -8(x + 4) (3 + -12x) + -1x = -8(x + 4) Combine like terms: -12x + -1x = -13x 3 + -13x = -8(x + 4) Reorder the terms: 3 + -13x = -8(4 + x) 3 + -13x = (4 * -8 + x * -8) 3 + -13x = (-32 + -8x) Solving 3 + -13x = -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. 3 + -13x + 8x = -32 + -8x + 8x Combine like terms: -13x + 8x = -5x 3 + -5x = -32 + -8x + 8x Combine like terms: -8x + 8x = 0 3 + -5x = -32 + 0 3 + -5x = -32 Add '-3' to each side of the equation. 3 + -3 + -5x = -32 + -3 Combine like terms: 3 + -3 = 0 0 + -5x = -32 + -3 -5x = -32 + -3 Combine like terms: -32 + -3 = -35 -5x = -35 Divide each side by '-5'. x = 7 Simplifying x = 7
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