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Simplifying 5x + 12x + -4 + 18x + 4 + 15x + 10 = 360 Reorder the terms: -4 + 4 + 10 + 5x + 12x + 18x + 15x = 360 Combine like terms: -4 + 4 = 0 0 + 10 + 5x + 12x + 18x + 15x = 360 10 + 5x + 12x + 18x + 15x = 360 Combine like terms: 5x + 12x = 17x 10 + 17x + 18x + 15x = 360 Combine like terms: 17x + 18x = 35x 10 + 35x + 15x = 360 Combine like terms: 35x + 15x = 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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