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Simplifying 12x + 12 + 15x + 5 + 13x + 10 = 360 Reorder the terms: 12 + 5 + 10 + 12x + 15x + 13x = 360 Combine like terms: 12 + 5 = 17 17 + 10 + 12x + 15x + 13x = 360 Combine like terms: 17 + 10 = 27 27 + 12x + 15x + 13x = 360 Combine like terms: 12x + 15x = 27x 27 + 27x + 13x = 360 Combine like terms: 27x + 13x = 40x 27 + 40x = 360 Solving 27 + 40x = 360 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 40x = 360 + -27 Combine like terms: 27 + -27 = 0 0 + 40x = 360 + -27 40x = 360 + -27 Combine like terms: 360 + -27 = 333 40x = 333 Divide each side by '40'. x = 8.325 Simplifying x = 8.325
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