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Simplifying 180 = (3x + 12) + (5x + -4) + (2x + -8) Reorder the terms: 180 = (12 + 3x) + (5x + -4) + (2x + -8) Remove parenthesis around (12 + 3x) 180 = 12 + 3x + (5x + -4) + (2x + -8) Reorder the terms: 180 = 12 + 3x + (-4 + 5x) + (2x + -8) Remove parenthesis around (-4 + 5x) 180 = 12 + 3x + -4 + 5x + (2x + -8) Reorder the terms: 180 = 12 + 3x + -4 + 5x + (-8 + 2x) Remove parenthesis around (-8 + 2x) 180 = 12 + 3x + -4 + 5x + -8 + 2x Reorder the terms: 180 = 12 + -4 + -8 + 3x + 5x + 2x Combine like terms: 12 + -4 = 8 180 = 8 + -8 + 3x + 5x + 2x Combine like terms: 8 + -8 = 0 180 = 0 + 3x + 5x + 2x 180 = 3x + 5x + 2x Combine like terms: 3x + 5x = 8x 180 = 8x + 2x Combine like terms: 8x + 2x = 10x 180 = 10x Solving 180 = 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 = 10x + -10x Combine like terms: 10x + -10x = 0 180 + -10x = 0 Add '-180' to each side of the equation. 180 + -180 + -10x = 0 + -180 Combine like terms: 180 + -180 = 0 0 + -10x = 0 + -180 -10x = 0 + -180 Combine like terms: 0 + -180 = -180 -10x = -180 Divide each side by '-10'. x = 18 Simplifying x = 18
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