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