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Simplifying (15x + -7) + (7x + -3) + (7x + -13) = 180 Reorder the terms: (-7 + 15x) + (7x + -3) + (7x + -13) = 180 Remove parenthesis around (-7 + 15x) -7 + 15x + (7x + -3) + (7x + -13) = 180 Reorder the terms: -7 + 15x + (-3 + 7x) + (7x + -13) = 180 Remove parenthesis around (-3 + 7x) -7 + 15x + -3 + 7x + (7x + -13) = 180 Reorder the terms: -7 + 15x + -3 + 7x + (-13 + 7x) = 180 Remove parenthesis around (-13 + 7x) -7 + 15x + -3 + 7x + -13 + 7x = 180 Reorder the terms: -7 + -3 + -13 + 15x + 7x + 7x = 180 Combine like terms: -7 + -3 = -10 -10 + -13 + 15x + 7x + 7x = 180 Combine like terms: -10 + -13 = -23 -23 + 15x + 7x + 7x = 180 Combine like terms: 15x + 7x = 22x -23 + 22x + 7x = 180 Combine like terms: 22x + 7x = 29x -23 + 29x = 180 Solving -23 + 29x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 29x = 180 + 23 Combine like terms: -23 + 23 = 0 0 + 29x = 180 + 23 29x = 180 + 23 Combine like terms: 180 + 23 = 203 29x = 203 Divide each side by '29'. x = 7 Simplifying x = 7
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