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Simplifying 4(1 + -1x) = 5(x + 8) (1 * 4 + -1x * 4) = 5(x + 8) (4 + -4x) = 5(x + 8) Reorder the terms: 4 + -4x = 5(8 + x) 4 + -4x = (8 * 5 + x * 5) 4 + -4x = (40 + 5x) Solving 4 + -4x = 40 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 4 + -4x + -5x = 40 + 5x + -5x Combine like terms: -4x + -5x = -9x 4 + -9x = 40 + 5x + -5x Combine like terms: 5x + -5x = 0 4 + -9x = 40 + 0 4 + -9x = 40 Add '-4' to each side of the equation. 4 + -4 + -9x = 40 + -4 Combine like terms: 4 + -4 = 0 0 + -9x = 40 + -4 -9x = 40 + -4 Combine like terms: 40 + -4 = 36 -9x = 36 Divide each side by '-9'. x = -4 Simplifying x = -4
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