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Simplifying (4x + 7) + (5x + -2) + (x + 5) = 180 Reorder the terms: (7 + 4x) + (5x + -2) + (x + 5) = 180 Remove parenthesis around (7 + 4x) 7 + 4x + (5x + -2) + (x + 5) = 180 Reorder the terms: 7 + 4x + (-2 + 5x) + (x + 5) = 180 Remove parenthesis around (-2 + 5x) 7 + 4x + -2 + 5x + (x + 5) = 180 Reorder the terms: 7 + 4x + -2 + 5x + (5 + x) = 180 Remove parenthesis around (5 + x) 7 + 4x + -2 + 5x + 5 + x = 180 Reorder the terms: 7 + -2 + 5 + 4x + 5x + x = 180 Combine like terms: 7 + -2 = 5 5 + 5 + 4x + 5x + x = 180 Combine like terms: 5 + 5 = 10 10 + 4x + 5x + x = 180 Combine like terms: 4x + 5x = 9x 10 + 9x + x = 180 Combine like terms: 9x + x = 10x 10 + 10x = 180 Solving 10 + 10x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 10x = 180 + -10 Combine like terms: 10 + -10 = 0 0 + 10x = 180 + -10 10x = 180 + -10 Combine like terms: 180 + -10 = 170 10x = 170 Divide each side by '10'. x = 17 Simplifying x = 17
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