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Simplifying 2x + -12 + x + 30 + 3x + 2 + x + -10 = 360 Reorder the terms: -12 + 30 + 2 + -10 + 2x + x + 3x + x = 360 Combine like terms: -12 + 30 = 18 18 + 2 + -10 + 2x + x + 3x + x = 360 Combine like terms: 18 + 2 = 20 20 + -10 + 2x + x + 3x + x = 360 Combine like terms: 20 + -10 = 10 10 + 2x + x + 3x + x = 360 Combine like terms: 2x + x = 3x 10 + 3x + 3x + x = 360 Combine like terms: 3x + 3x = 6x 10 + 6x + x = 360 Combine like terms: 6x + x = 7x 10 + 7x = 360 Solving 10 + 7x = 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 + 7x = 360 + -10 Combine like terms: 10 + -10 = 0 0 + 7x = 360 + -10 7x = 360 + -10 Combine like terms: 360 + -10 = 350 7x = 350 Divide each side by '7'. x = 50 Simplifying x = 50
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