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Simplifying 180 = (3x + -4) + (5x + 1) + (7x + -27) Reorder the terms: 180 = (-4 + 3x) + (5x + 1) + (7x + -27) Remove parenthesis around (-4 + 3x) 180 = -4 + 3x + (5x + 1) + (7x + -27) Reorder the terms: 180 = -4 + 3x + (1 + 5x) + (7x + -27) Remove parenthesis around (1 + 5x) 180 = -4 + 3x + 1 + 5x + (7x + -27) Reorder the terms: 180 = -4 + 3x + 1 + 5x + (-27 + 7x) Remove parenthesis around (-27 + 7x) 180 = -4 + 3x + 1 + 5x + -27 + 7x Reorder the terms: 180 = -4 + 1 + -27 + 3x + 5x + 7x Combine like terms: -4 + 1 = -3 180 = -3 + -27 + 3x + 5x + 7x Combine like terms: -3 + -27 = -30 180 = -30 + 3x + 5x + 7x Combine like terms: 3x + 5x = 8x 180 = -30 + 8x + 7x Combine like terms: 8x + 7x = 15x 180 = -30 + 15x Solving 180 = -30 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 180 + -15x = -30 + 15x + -15x Combine like terms: 15x + -15x = 0 180 + -15x = -30 + 0 180 + -15x = -30 Add '-180' to each side of the equation. 180 + -180 + -15x = -30 + -180 Combine like terms: 180 + -180 = 0 0 + -15x = -30 + -180 -15x = -30 + -180 Combine like terms: -30 + -180 = -210 -15x = -210 Divide each side by '-15'. x = 14 Simplifying x = 14
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