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Simplifying (12x + -4) + (18x + 4) + (15x + 10) + (5x) = 360 Reorder the terms: (-4 + 12x) + (18x + 4) + (15x + 10) + (5x) = 360 Remove parenthesis around (-4 + 12x) -4 + 12x + (18x + 4) + (15x + 10) + (5x) = 360 Reorder the terms: -4 + 12x + (4 + 18x) + (15x + 10) + (5x) = 360 Remove parenthesis around (4 + 18x) -4 + 12x + 4 + 18x + (15x + 10) + (5x) = 360 Reorder the terms: -4 + 12x + 4 + 18x + (10 + 15x) + (5x) = 360 Remove parenthesis around (10 + 15x) -4 + 12x + 4 + 18x + 10 + 15x + (5x) = 360 Reorder the terms: -4 + 4 + 10 + 12x + 18x + 15x + (5x) = 360 Combine like terms: -4 + 4 = 0 0 + 10 + 12x + 18x + 15x + (5x) = 360 10 + 12x + 18x + 15x + (5x) = 360 Combine like terms: 12x + 18x = 30x 10 + 30x + 15x + (5x) = 360 Combine like terms: 30x + 15x = 45x 10 + 45x + (5x) = 360 Combine like terms: 45x + (5x) = 50x 10 + 50x = 360 Solving 10 + 50x = 360 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 50x = 360 + -10 Combine like terms: 10 + -10 = 0 0 + 50x = 360 + -10 50x = 360 + -10 Combine like terms: 360 + -10 = 350 50x = 350 Divide each side by '50'. x = 7 Simplifying x = 7
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