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Simplifying (15x + -52) + (7x + -10) = 180 Reorder the terms: (-52 + 15x) + (7x + -10) = 180 Remove parenthesis around (-52 + 15x) -52 + 15x + (7x + -10) = 180 Reorder the terms: -52 + 15x + (-10 + 7x) = 180 Remove parenthesis around (-10 + 7x) -52 + 15x + -10 + 7x = 180 Reorder the terms: -52 + -10 + 15x + 7x = 180 Combine like terms: -52 + -10 = -62 -62 + 15x + 7x = 180 Combine like terms: 15x + 7x = 22x -62 + 22x = 180 Solving -62 + 22x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '62' to each side of the equation. -62 + 62 + 22x = 180 + 62 Combine like terms: -62 + 62 = 0 0 + 22x = 180 + 62 22x = 180 + 62 Combine like terms: 180 + 62 = 242 22x = 242 Divide each side by '22'. x = 11 Simplifying x = 11
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