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Simplifying (5x + 1) + (3x + 4) + (2x + 5) = 2x + (x + 13) Reorder the terms: (1 + 5x) + (3x + 4) + (2x + 5) = 2x + (x + 13) Remove parenthesis around (1 + 5x) 1 + 5x + (3x + 4) + (2x + 5) = 2x + (x + 13) Reorder the terms: 1 + 5x + (4 + 3x) + (2x + 5) = 2x + (x + 13) Remove parenthesis around (4 + 3x) 1 + 5x + 4 + 3x + (2x + 5) = 2x + (x + 13) Reorder the terms: 1 + 5x + 4 + 3x + (5 + 2x) = 2x + (x + 13) Remove parenthesis around (5 + 2x) 1 + 5x + 4 + 3x + 5 + 2x = 2x + (x + 13) Reorder the terms: 1 + 4 + 5 + 5x + 3x + 2x = 2x + (x + 13) Combine like terms: 1 + 4 = 5 5 + 5 + 5x + 3x + 2x = 2x + (x + 13) Combine like terms: 5 + 5 = 10 10 + 5x + 3x + 2x = 2x + (x + 13) Combine like terms: 5x + 3x = 8x 10 + 8x + 2x = 2x + (x + 13) Combine like terms: 8x + 2x = 10x 10 + 10x = 2x + (x + 13) Reorder the terms: 10 + 10x = 2x + (13 + x) Remove parenthesis around (13 + x) 10 + 10x = 2x + 13 + x Reorder the terms: 10 + 10x = 13 + 2x + x Combine like terms: 2x + x = 3x 10 + 10x = 13 + 3x Solving 10 + 10x = 13 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 10 + 10x + -3x = 13 + 3x + -3x Combine like terms: 10x + -3x = 7x 10 + 7x = 13 + 3x + -3x Combine like terms: 3x + -3x = 0 10 + 7x = 13 + 0 10 + 7x = 13 Add '-10' to each side of the equation. 10 + -10 + 7x = 13 + -10 Combine like terms: 10 + -10 = 0 0 + 7x = 13 + -10 7x = 13 + -10 Combine like terms: 13 + -10 = 3 7x = 3 Divide each side by '7'. x = 0.4285714286 Simplifying x = 0.4285714286
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