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Simplifying 8(5x + 1) + 5 = 5x + 13 Reorder the terms: 8(1 + 5x) + 5 = 5x + 13 (1 * 8 + 5x * 8) + 5 = 5x + 13 (8 + 40x) + 5 = 5x + 13 Reorder the terms: 8 + 5 + 40x = 5x + 13 Combine like terms: 8 + 5 = 13 13 + 40x = 5x + 13 Reorder the terms: 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 = 35x 35x = 5x + -5x Combine like terms: 5x + -5x = 0 35x = 0 Divide each side by '35'. x = 0 Simplifying x = 0
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