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Simplifying 180 = 5x + (2x + 5) + (3x + -15) Reorder the terms: 180 = 5x + (5 + 2x) + (3x + -15) Remove parenthesis around (5 + 2x) 180 = 5x + 5 + 2x + (3x + -15) Reorder the terms: 180 = 5x + 5 + 2x + (-15 + 3x) Remove parenthesis around (-15 + 3x) 180 = 5x + 5 + 2x + -15 + 3x Reorder the terms: 180 = 5 + -15 + 5x + 2x + 3x Combine like terms: 5 + -15 = -10 180 = -10 + 5x + 2x + 3x Combine like terms: 5x + 2x = 7x 180 = -10 + 7x + 3x Combine like terms: 7x + 3x = 10x 180 = -10 + 10x Solving 180 = -10 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 180 + -10x = -10 + 10x + -10x Combine like terms: 10x + -10x = 0 180 + -10x = -10 + 0 180 + -10x = -10 Add '-180' to each side of the equation. 180 + -180 + -10x = -10 + -180 Combine like terms: 180 + -180 = 0 0 + -10x = -10 + -180 -10x = -10 + -180 Combine like terms: -10 + -180 = -190 -10x = -190 Divide each side by '-10'. x = 19 Simplifying x = 19
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