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Simplifying (5x + -21) + (2x + -9) = 180 Reorder the terms: (-21 + 5x) + (2x + -9) = 180 Remove parenthesis around (-21 + 5x) -21 + 5x + (2x + -9) = 180 Reorder the terms: -21 + 5x + (-9 + 2x) = 180 Remove parenthesis around (-9 + 2x) -21 + 5x + -9 + 2x = 180 Reorder the terms: -21 + -9 + 5x + 2x = 180 Combine like terms: -21 + -9 = -30 -30 + 5x + 2x = 180 Combine like terms: 5x + 2x = 7x -30 + 7x = 180 Solving -30 + 7x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 7x = 180 + 30 Combine like terms: -30 + 30 = 0 0 + 7x = 180 + 30 7x = 180 + 30 Combine like terms: 180 + 30 = 210 7x = 210 Divide each side by '7'. x = 30 Simplifying x = 30
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