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Simplifying 2(5x + 1) + 2(6x + -5) = 360 Reorder the terms: 2(1 + 5x) + 2(6x + -5) = 360 (1 * 2 + 5x * 2) + 2(6x + -5) = 360 (2 + 10x) + 2(6x + -5) = 360 Reorder the terms: 2 + 10x + 2(-5 + 6x) = 360 2 + 10x + (-5 * 2 + 6x * 2) = 360 2 + 10x + (-10 + 12x) = 360 Reorder the terms: 2 + -10 + 10x + 12x = 360 Combine like terms: 2 + -10 = -8 -8 + 10x + 12x = 360 Combine like terms: 10x + 12x = 22x -8 + 22x = 360 Solving -8 + 22x = 360 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 22x = 360 + 8 Combine like terms: -8 + 8 = 0 0 + 22x = 360 + 8 22x = 360 + 8 Combine like terms: 360 + 8 = 368 22x = 368 Divide each side by '22'. x = 16.72727273 Simplifying x = 16.72727273
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