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Simplifying (7x + 10) + (6x + -2) + (5x + 7) + 9x + 15x = 360 Reorder the terms: (10 + 7x) + (6x + -2) + (5x + 7) + 9x + 15x = 360 Remove parenthesis around (10 + 7x) 10 + 7x + (6x + -2) + (5x + 7) + 9x + 15x = 360 Reorder the terms: 10 + 7x + (-2 + 6x) + (5x + 7) + 9x + 15x = 360 Remove parenthesis around (-2 + 6x) 10 + 7x + -2 + 6x + (5x + 7) + 9x + 15x = 360 Reorder the terms: 10 + 7x + -2 + 6x + (7 + 5x) + 9x + 15x = 360 Remove parenthesis around (7 + 5x) 10 + 7x + -2 + 6x + 7 + 5x + 9x + 15x = 360 Reorder the terms: 10 + -2 + 7 + 7x + 6x + 5x + 9x + 15x = 360 Combine like terms: 10 + -2 = 8 8 + 7 + 7x + 6x + 5x + 9x + 15x = 360 Combine like terms: 8 + 7 = 15 15 + 7x + 6x + 5x + 9x + 15x = 360 Combine like terms: 7x + 6x = 13x 15 + 13x + 5x + 9x + 15x = 360 Combine like terms: 13x + 5x = 18x 15 + 18x + 9x + 15x = 360 Combine like terms: 18x + 9x = 27x 15 + 27x + 15x = 360 Combine like terms: 27x + 15x = 42x 15 + 42x = 360 Solving 15 + 42x = 360 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 42x = 360 + -15 Combine like terms: 15 + -15 = 0 0 + 42x = 360 + -15 42x = 360 + -15 Combine like terms: 360 + -15 = 345 42x = 345 Divide each side by '42'. x = 8.214285714 Simplifying x = 8.214285714
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