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Simplifying 1x + 50 + 2x + 80 + 3x + 50 = 360 Reorder the terms: 50 + 80 + 50 + 1x + 2x + 3x = 360 Combine like terms: 50 + 80 = 130 130 + 50 + 1x + 2x + 3x = 360 Combine like terms: 130 + 50 = 180 180 + 1x + 2x + 3x = 360 Combine like terms: 1x + 2x = 3x 180 + 3x + 3x = 360 Combine like terms: 3x + 3x = 6x 180 + 6x = 360 Solving 180 + 6x = 360 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-180' to each side of the equation. 180 + -180 + 6x = 360 + -180 Combine like terms: 180 + -180 = 0 0 + 6x = 360 + -180 6x = 360 + -180 Combine like terms: 360 + -180 = 180 6x = 180 Divide each side by '6'. x = 30 Simplifying x = 30
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