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Simplifying 2(3x + -2) + 2(50 + -1x) = 360 Reorder the terms: 2(-2 + 3x) + 2(50 + -1x) = 360 (-2 * 2 + 3x * 2) + 2(50 + -1x) = 360 (-4 + 6x) + 2(50 + -1x) = 360 -4 + 6x + (50 * 2 + -1x * 2) = 360 -4 + 6x + (100 + -2x) = 360 Reorder the terms: -4 + 100 + 6x + -2x = 360 Combine like terms: -4 + 100 = 96 96 + 6x + -2x = 360 Combine like terms: 6x + -2x = 4x 96 + 4x = 360 Solving 96 + 4x = 360 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-96' to each side of the equation. 96 + -96 + 4x = 360 + -96 Combine like terms: 96 + -96 = 0 0 + 4x = 360 + -96 4x = 360 + -96 Combine like terms: 360 + -96 = 264 4x = 264 Divide each side by '4'. x = 66 Simplifying x = 66
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