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Simplifying 2x + -12 + 3x + 2 + x + -10 + x + 30 = 360 Reorder the terms: -12 + 2 + -10 + 30 + 2x + 3x + x + x = 360 Combine like terms: -12 + 2 = -10 -10 + -10 + 30 + 2x + 3x + x + x = 360 Combine like terms: -10 + -10 = -20 -20 + 30 + 2x + 3x + x + x = 360 Combine like terms: -20 + 30 = 10 10 + 2x + 3x + x + x = 360 Combine like terms: 2x + 3x = 5x 10 + 5x + x + x = 360 Combine like terms: 5x + x = 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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