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Simplifying 5x + 2 + 6x + -5 + 48 + -2x = 180 Reorder the terms: 2 + -5 + 48 + 5x + 6x + -2x = 180 Combine like terms: 2 + -5 = -3 -3 + 48 + 5x + 6x + -2x = 180 Combine like terms: -3 + 48 = 45 45 + 5x + 6x + -2x = 180 Combine like terms: 5x + 6x = 11x 45 + 11x + -2x = 180 Combine like terms: 11x + -2x = 9x 45 + 9x = 180 Solving 45 + 9x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 9x = 180 + -45 Combine like terms: 45 + -45 = 0 0 + 9x = 180 + -45 9x = 180 + -45 Combine like terms: 180 + -45 = 135 9x = 135 Divide each side by '9'. x = 15 Simplifying x = 15
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