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Simplifying (2x + -1) + (3x + -32) + 3x + (2x + 13) = 360 Reorder the terms: (-1 + 2x) + (3x + -32) + 3x + (2x + 13) = 360 Remove parenthesis around (-1 + 2x) -1 + 2x + (3x + -32) + 3x + (2x + 13) = 360 Reorder the terms: -1 + 2x + (-32 + 3x) + 3x + (2x + 13) = 360 Remove parenthesis around (-32 + 3x) -1 + 2x + -32 + 3x + 3x + (2x + 13) = 360 Reorder the terms: -1 + 2x + -32 + 3x + 3x + (13 + 2x) = 360 Remove parenthesis around (13 + 2x) -1 + 2x + -32 + 3x + 3x + 13 + 2x = 360 Reorder the terms: -1 + -32 + 13 + 2x + 3x + 3x + 2x = 360 Combine like terms: -1 + -32 = -33 -33 + 13 + 2x + 3x + 3x + 2x = 360 Combine like terms: -33 + 13 = -20 -20 + 2x + 3x + 3x + 2x = 360 Combine like terms: 2x + 3x = 5x -20 + 5x + 3x + 2x = 360 Combine like terms: 5x + 3x = 8x -20 + 8x + 2x = 360 Combine like terms: 8x + 2x = 10x -20 + 10x = 360 Solving -20 + 10x = 360 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 10x = 360 + 20 Combine like terms: -20 + 20 = 0 0 + 10x = 360 + 20 10x = 360 + 20 Combine like terms: 360 + 20 = 380 10x = 380 Divide each side by '10'. x = 38 Simplifying x = 38
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