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Simplifying 6x + 38 + 5x + -23 = 180 Reorder the terms: 38 + -23 + 6x + 5x = 180 Combine like terms: 38 + -23 = 15 15 + 6x + 5x = 180 Combine like terms: 6x + 5x = 11x 15 + 11x = 180 Solving 15 + 11x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 11x = 180 + -15 Combine like terms: 15 + -15 = 0 0 + 11x = 180 + -15 11x = 180 + -15 Combine like terms: 180 + -15 = 165 11x = 165 Divide each side by '11'. x = 15 Simplifying x = 15
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