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Simplifying 8(1 + 5x) + 5x = 13 + 5x (1 * 8 + 5x * 8) + 5x = 13 + 5x (8 + 40x) + 5x = 13 + 5x Combine like terms: 40x + 5x = 45x 8 + 45x = 13 + 5x Solving 8 + 45x = 13 + 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 + 45x + -5x = 13 + 5x + -5x Combine like terms: 45x + -5x = 40x 8 + 40x = 13 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + 40x = 13 + 0 8 + 40x = 13 Add '-8' to each side of the equation. 8 + -8 + 40x = 13 + -8 Combine like terms: 8 + -8 = 0 0 + 40x = 13 + -8 40x = 13 + -8 Combine like terms: 13 + -8 = 5 40x = 5 Divide each side by '40'. x = 0.125 Simplifying x = 0.125
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