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Simplifying 10x + 160 + 50x + 60x + 20 = 1140 Reorder the terms: 160 + 20 + 10x + 50x + 60x = 1140 Combine like terms: 160 + 20 = 180 180 + 10x + 50x + 60x = 1140 Combine like terms: 10x + 50x = 60x 180 + 60x + 60x = 1140 Combine like terms: 60x + 60x = 120x 180 + 120x = 1140 Solving 180 + 120x = 1140 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 + 120x = 1140 + -180 Combine like terms: 180 + -180 = 0 0 + 120x = 1140 + -180 120x = 1140 + -180 Combine like terms: 1140 + -180 = 960 120x = 960 Divide each side by '120'. x = 8 Simplifying x = 8
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