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Simplifying (5)(x + 1) = (8)(x) Reorder the terms: 5(1 + x) = (8)(x) (1 * 5 + x * 5) = (8)(x) (5 + 5x) = (8)(x) Solving 5 + 5x = 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. 5 + 5x + -8x = 8x + -8x Combine like terms: 5x + -8x = -3x 5 + -3x = 8x + -8x Combine like terms: 8x + -8x = 0 5 + -3x = 0 Add '-5' to each side of the equation. 5 + -5 + -3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = 0 + -5 -3x = 0 + -5 Combine like terms: 0 + -5 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667
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