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Simplifying 2(4x + -6) + 2(5x + 15) = 360 Reorder the terms: 2(-6 + 4x) + 2(5x + 15) = 360 (-6 * 2 + 4x * 2) + 2(5x + 15) = 360 (-12 + 8x) + 2(5x + 15) = 360 Reorder the terms: -12 + 8x + 2(15 + 5x) = 360 -12 + 8x + (15 * 2 + 5x * 2) = 360 -12 + 8x + (30 + 10x) = 360 Reorder the terms: -12 + 30 + 8x + 10x = 360 Combine like terms: -12 + 30 = 18 18 + 8x + 10x = 360 Combine like terms: 8x + 10x = 18x 18 + 18x = 360 Solving 18 + 18x = 360 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 18x = 360 + -18 Combine like terms: 18 + -18 = 0 0 + 18x = 360 + -18 18x = 360 + -18 Combine like terms: 360 + -18 = 342 18x = 342 Divide each side by '18'. x = 19 Simplifying x = 19
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