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Simplifying (2x + 3) + (x + 8) + (3x + -1) + (2x + 4) + (x + 4) = 360 Reorder the terms: (3 + 2x) + (x + 8) + (3x + -1) + (2x + 4) + (x + 4) = 360 Remove parenthesis around (3 + 2x) 3 + 2x + (x + 8) + (3x + -1) + (2x + 4) + (x + 4) = 360 Reorder the terms: 3 + 2x + (8 + x) + (3x + -1) + (2x + 4) + (x + 4) = 360 Remove parenthesis around (8 + x) 3 + 2x + 8 + x + (3x + -1) + (2x + 4) + (x + 4) = 360 Reorder the terms: 3 + 2x + 8 + x + (-1 + 3x) + (2x + 4) + (x + 4) = 360 Remove parenthesis around (-1 + 3x) 3 + 2x + 8 + x + -1 + 3x + (2x + 4) + (x + 4) = 360 Reorder the terms: 3 + 2x + 8 + x + -1 + 3x + (4 + 2x) + (x + 4) = 360 Remove parenthesis around (4 + 2x) 3 + 2x + 8 + x + -1 + 3x + 4 + 2x + (x + 4) = 360 Reorder the terms: 3 + 2x + 8 + x + -1 + 3x + 4 + 2x + (4 + x) = 360 Remove parenthesis around (4 + x) 3 + 2x + 8 + x + -1 + 3x + 4 + 2x + 4 + x = 360 Reorder the terms: 3 + 8 + -1 + 4 + 4 + 2x + x + 3x + 2x + x = 360 Combine like terms: 3 + 8 = 11 11 + -1 + 4 + 4 + 2x + x + 3x + 2x + x = 360 Combine like terms: 11 + -1 = 10 10 + 4 + 4 + 2x + x + 3x + 2x + x = 360 Combine like terms: 10 + 4 = 14 14 + 4 + 2x + x + 3x + 2x + x = 360 Combine like terms: 14 + 4 = 18 18 + 2x + x + 3x + 2x + x = 360 Combine like terms: 2x + x = 3x 18 + 3x + 3x + 2x + x = 360 Combine like terms: 3x + 3x = 6x 18 + 6x + 2x + x = 360 Combine like terms: 6x + 2x = 8x 18 + 8x + x = 360 Combine like terms: 8x + x = 9x 18 + 9x = 360 Solving 18 + 9x = 360 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 9x = 360 + -18 Combine like terms: 18 + -18 = 0 0 + 9x = 360 + -18 9x = 360 + -18 Combine like terms: 360 + -18 = 342 9x = 342 Divide each side by '9'. x = 38 Simplifying x = 38
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