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Simplifying (3x + -10) + (2x + -5) + (x + 45) = 180 Reorder the terms: (-10 + 3x) + (2x + -5) + (x + 45) = 180 Remove parenthesis around (-10 + 3x) -10 + 3x + (2x + -5) + (x + 45) = 180 Reorder the terms: -10 + 3x + (-5 + 2x) + (x + 45) = 180 Remove parenthesis around (-5 + 2x) -10 + 3x + -5 + 2x + (x + 45) = 180 Reorder the terms: -10 + 3x + -5 + 2x + (45 + x) = 180 Remove parenthesis around (45 + x) -10 + 3x + -5 + 2x + 45 + x = 180 Reorder the terms: -10 + -5 + 45 + 3x + 2x + x = 180 Combine like terms: -10 + -5 = -15 -15 + 45 + 3x + 2x + x = 180 Combine like terms: -15 + 45 = 30 30 + 3x + 2x + x = 180 Combine like terms: 3x + 2x = 5x 30 + 5x + x = 180 Combine like terms: 5x + x = 6x 30 + 6x = 180 Solving 30 + 6x = 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 + 6x = 180 + -30 Combine like terms: 30 + -30 = 0 0 + 6x = 180 + -30 6x = 180 + -30 Combine like terms: 180 + -30 = 150 6x = 150 Divide each side by '6'. x = 25 Simplifying x = 25
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