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Simplifying 5x + 8(x + 1) = 2(x + 5) Reorder the terms: 5x + 8(1 + x) = 2(x + 5) 5x + (1 * 8 + x * 8) = 2(x + 5) 5x + (8 + 8x) = 2(x + 5) Reorder the terms: 8 + 5x + 8x = 2(x + 5) Combine like terms: 5x + 8x = 13x 8 + 13x = 2(x + 5) Reorder the terms: 8 + 13x = 2(5 + x) 8 + 13x = (5 * 2 + x * 2) 8 + 13x = (10 + 2x) Solving 8 + 13x = 10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 8 + 13x + -2x = 10 + 2x + -2x Combine like terms: 13x + -2x = 11x 8 + 11x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + 11x = 10 + 0 8 + 11x = 10 Add '-8' to each side of the equation. 8 + -8 + 11x = 10 + -8 Combine like terms: 8 + -8 = 0 0 + 11x = 10 + -8 11x = 10 + -8 Combine like terms: 10 + -8 = 2 11x = 2 Divide each side by '11'. x = 0.1818181818 Simplifying x = 0.1818181818
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