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Simplifying (5x + -14) + (x + -5) + (2x + -9) = 180 Reorder the terms: (-14 + 5x) + (x + -5) + (2x + -9) = 180 Remove parenthesis around (-14 + 5x) -14 + 5x + (x + -5) + (2x + -9) = 180 Reorder the terms: -14 + 5x + (-5 + x) + (2x + -9) = 180 Remove parenthesis around (-5 + x) -14 + 5x + -5 + x + (2x + -9) = 180 Reorder the terms: -14 + 5x + -5 + x + (-9 + 2x) = 180 Remove parenthesis around (-9 + 2x) -14 + 5x + -5 + x + -9 + 2x = 180 Reorder the terms: -14 + -5 + -9 + 5x + x + 2x = 180 Combine like terms: -14 + -5 = -19 -19 + -9 + 5x + x + 2x = 180 Combine like terms: -19 + -9 = -28 -28 + 5x + x + 2x = 180 Combine like terms: 5x + x = 6x -28 + 6x + 2x = 180 Combine like terms: 6x + 2x = 8x -28 + 8x = 180 Solving -28 + 8x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 8x = 180 + 28 Combine like terms: -28 + 28 = 0 0 + 8x = 180 + 28 8x = 180 + 28 Combine like terms: 180 + 28 = 208 8x = 208 Divide each side by '8'. x = 26 Simplifying x = 26
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