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Simplifying (x + 24) + (2x + 5) + (4x + -11) + 2x = 360 Reorder the terms: (24 + x) + (2x + 5) + (4x + -11) + 2x = 360 Remove parenthesis around (24 + x) 24 + x + (2x + 5) + (4x + -11) + 2x = 360 Reorder the terms: 24 + x + (5 + 2x) + (4x + -11) + 2x = 360 Remove parenthesis around (5 + 2x) 24 + x + 5 + 2x + (4x + -11) + 2x = 360 Reorder the terms: 24 + x + 5 + 2x + (-11 + 4x) + 2x = 360 Remove parenthesis around (-11 + 4x) 24 + x + 5 + 2x + -11 + 4x + 2x = 360 Reorder the terms: 24 + 5 + -11 + x + 2x + 4x + 2x = 360 Combine like terms: 24 + 5 = 29 29 + -11 + x + 2x + 4x + 2x = 360 Combine like terms: 29 + -11 = 18 18 + x + 2x + 4x + 2x = 360 Combine like terms: x + 2x = 3x 18 + 3x + 4x + 2x = 360 Combine like terms: 3x + 4x = 7x 18 + 7x + 2x = 360 Combine like terms: 7x + 2x = 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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