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Simplifying (2x + -14) + (3x + 10) + 29 = 180 Reorder the terms: (-14 + 2x) + (3x + 10) + 29 = 180 Remove parenthesis around (-14 + 2x) -14 + 2x + (3x + 10) + 29 = 180 Reorder the terms: -14 + 2x + (10 + 3x) + 29 = 180 Remove parenthesis around (10 + 3x) -14 + 2x + 10 + 3x + 29 = 180 Reorder the terms: -14 + 10 + 29 + 2x + 3x = 180 Combine like terms: -14 + 10 = -4 -4 + 29 + 2x + 3x = 180 Combine like terms: -4 + 29 = 25 25 + 2x + 3x = 180 Combine like terms: 2x + 3x = 5x 25 + 5x = 180 Solving 25 + 5x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 5x = 180 + -25 Combine like terms: 25 + -25 = 0 0 + 5x = 180 + -25 5x = 180 + -25 Combine like terms: 180 + -25 = 155 5x = 155 Divide each side by '5'. x = 31 Simplifying x = 31
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