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Simplifying 5(x + 1) = (x + 8) Reorder the terms: 5(1 + x) = (x + 8) (1 * 5 + x * 5) = (x + 8) (5 + 5x) = (x + 8) Reorder the terms: 5 + 5x = (8 + x) Remove parenthesis around (8 + x) 5 + 5x = 8 + x Solving 5 + 5x = 8 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 5 + 5x + -1x = 8 + x + -1x Combine like terms: 5x + -1x = 4x 5 + 4x = 8 + x + -1x Combine like terms: x + -1x = 0 5 + 4x = 8 + 0 5 + 4x = 8 Add '-5' to each side of the equation. 5 + -5 + 4x = 8 + -5 Combine like terms: 5 + -5 = 0 0 + 4x = 8 + -5 4x = 8 + -5 Combine like terms: 8 + -5 = 3 4x = 3 Divide each side by '4'. x = 0.75 Simplifying x = 0.75
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