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Simplifying 4(2 + -1x) = 5(x + 1) (2 * 4 + -1x * 4) = 5(x + 1) (8 + -4x) = 5(x + 1) Reorder the terms: 8 + -4x = 5(1 + x) 8 + -4x = (1 * 5 + x * 5) 8 + -4x = (5 + 5x) Solving 8 + -4x = 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. 8 + -4x + -5x = 5 + 5x + -5x Combine like terms: -4x + -5x = -9x 8 + -9x = 5 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + -9x = 5 + 0 8 + -9x = 5 Add '-8' to each side of the equation. 8 + -8 + -9x = 5 + -8 Combine like terms: 8 + -8 = 0 0 + -9x = 5 + -8 -9x = 5 + -8 Combine like terms: 5 + -8 = -3 -9x = -3 Divide each side by '-9'. x = 0.3333333333 Simplifying x = 0.3333333333
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