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Simplifying -2x + 35 + 100 + 7x + -10 = 180 Reorder the terms: 35 + 100 + -10 + -2x + 7x = 180 Combine like terms: 35 + 100 = 135 135 + -10 + -2x + 7x = 180 Combine like terms: 135 + -10 = 125 125 + -2x + 7x = 180 Combine like terms: -2x + 7x = 5x 125 + 5x = 180 Solving 125 + 5x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-125' to each side of the equation. 125 + -125 + 5x = 180 + -125 Combine like terms: 125 + -125 = 0 0 + 5x = 180 + -125 5x = 180 + -125 Combine like terms: 180 + -125 = 55 5x = 55 Divide each side by '5'. x = 11 Simplifying x = 11
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