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Simplifying 6x + 14 + 10x + 15 + 45 = 180 Reorder the terms: 14 + 15 + 45 + 6x + 10x = 180 Combine like terms: 14 + 15 = 29 29 + 45 + 6x + 10x = 180 Combine like terms: 29 + 45 = 74 74 + 6x + 10x = 180 Combine like terms: 6x + 10x = 16x 74 + 16x = 180 Solving 74 + 16x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-74' to each side of the equation. 74 + -74 + 16x = 180 + -74 Combine like terms: 74 + -74 = 0 0 + 16x = 180 + -74 16x = 180 + -74 Combine like terms: 180 + -74 = 106 16x = 106 Divide each side by '16'. x = 6.625 Simplifying x = 6.625
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