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Simplifying (2x + 15) + (3x + -45) + (x) = 180 Reorder the terms: (15 + 2x) + (3x + -45) + (x) = 180 Remove parenthesis around (15 + 2x) 15 + 2x + (3x + -45) + (x) = 180 Reorder the terms: 15 + 2x + (-45 + 3x) + (x) = 180 Remove parenthesis around (-45 + 3x) 15 + 2x + -45 + 3x + (x) = 180 15 + 2x + -45 + 3x + x = 180 Reorder the terms: 15 + -45 + 2x + 3x + x = 180 Combine like terms: 15 + -45 = -30 -30 + 2x + 3x + x = 180 Combine like terms: 2x + 3x = 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 = 210 6x = 210 Divide each side by '6'. x = 35 Simplifying x = 35
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