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Simplifying 8 + -1(4 + -1x) = 5(1 + x) 8 + (4 * -1 + -1x * -1) = 5(1 + x) 8 + (-4 + 1x) = 5(1 + x) Combine like terms: 8 + -4 = 4 4 + 1x = 5(1 + x) 4 + 1x = (1 * 5 + x * 5) 4 + 1x = (5 + 5x) Solving 4 + 1x = 5 + 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 + 1x + -5x = 5 + 5x + -5x Combine like terms: 1x + -5x = -4x 4 + -4x = 5 + 5x + -5x Combine like terms: 5x + -5x = 0 4 + -4x = 5 + 0 4 + -4x = 5 Add '-4' to each side of the equation. 4 + -4 + -4x = 5 + -4 Combine like terms: 4 + -4 = 0 0 + -4x = 5 + -4 -4x = 5 + -4 Combine like terms: 5 + -4 = 1 -4x = 1 Divide each side by '-4'. x = -0.25 Simplifying x = -0.25
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