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Simplifying (5x + -32) * 2 + (7x + 56) * 2 = 360 Reorder the terms: (-32 + 5x) * 2 + (7x + 56) * 2 = 360 Reorder the terms for easier multiplication: 2(-32 + 5x) + (7x + 56) * 2 = 360 (-32 * 2 + 5x * 2) + (7x + 56) * 2 = 360 (-64 + 10x) + (7x + 56) * 2 = 360 Reorder the terms: -64 + 10x + (56 + 7x) * 2 = 360 Reorder the terms for easier multiplication: -64 + 10x + 2(56 + 7x) = 360 -64 + 10x + (56 * 2 + 7x * 2) = 360 -64 + 10x + (112 + 14x) = 360 Reorder the terms: -64 + 112 + 10x + 14x = 360 Combine like terms: -64 + 112 = 48 48 + 10x + 14x = 360 Combine like terms: 10x + 14x = 24x 48 + 24x = 360 Solving 48 + 24x = 360 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + 24x = 360 + -48 Combine like terms: 48 + -48 = 0 0 + 24x = 360 + -48 24x = 360 + -48 Combine like terms: 360 + -48 = 312 24x = 312 Divide each side by '24'. x = 13 Simplifying x = 13
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