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Simplifying 10x + -10 + 5x + 30 + 8x + -1 + 6x + -7 = 360 Reorder the terms: -10 + 30 + -1 + -7 + 10x + 5x + 8x + 6x = 360 Combine like terms: -10 + 30 = 20 20 + -1 + -7 + 10x + 5x + 8x + 6x = 360 Combine like terms: 20 + -1 = 19 19 + -7 + 10x + 5x + 8x + 6x = 360 Combine like terms: 19 + -7 = 12 12 + 10x + 5x + 8x + 6x = 360 Combine like terms: 10x + 5x = 15x 12 + 15x + 8x + 6x = 360 Combine like terms: 15x + 8x = 23x 12 + 23x + 6x = 360 Combine like terms: 23x + 6x = 29x 12 + 29x = 360 Solving 12 + 29x = 360 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 29x = 360 + -12 Combine like terms: 12 + -12 = 0 0 + 29x = 360 + -12 29x = 360 + -12 Combine like terms: 360 + -12 = 348 29x = 348 Divide each side by '29'. x = 12 Simplifying x = 12
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