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Simplifying 2(x + 5) + 2(x + 5) + 3x + 2 + 3x + 2 = 360 Reorder the terms: 2(5 + x) + 2(x + 5) + 3x + 2 + 3x + 2 = 360 (5 * 2 + x * 2) + 2(x + 5) + 3x + 2 + 3x + 2 = 360 (10 + 2x) + 2(x + 5) + 3x + 2 + 3x + 2 = 360 Reorder the terms: 10 + 2x + 2(5 + x) + 3x + 2 + 3x + 2 = 360 10 + 2x + (5 * 2 + x * 2) + 3x + 2 + 3x + 2 = 360 10 + 2x + (10 + 2x) + 3x + 2 + 3x + 2 = 360 Reorder the terms: 10 + 10 + 2 + 2 + 2x + 2x + 3x + 3x = 360 Combine like terms: 10 + 10 = 20 20 + 2 + 2 + 2x + 2x + 3x + 3x = 360 Combine like terms: 20 + 2 = 22 22 + 2 + 2x + 2x + 3x + 3x = 360 Combine like terms: 22 + 2 = 24 24 + 2x + 2x + 3x + 3x = 360 Combine like terms: 2x + 2x = 4x 24 + 4x + 3x + 3x = 360 Combine like terms: 4x + 3x = 7x 24 + 7x + 3x = 360 Combine like terms: 7x + 3x = 10x 24 + 10x = 360 Solving 24 + 10x = 360 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 10x = 360 + -24 Combine like terms: 24 + -24 = 0 0 + 10x = 360 + -24 10x = 360 + -24 Combine like terms: 360 + -24 = 336 10x = 336 Divide each side by '10'. x = 33.6 Simplifying x = 33.6
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