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Simplifying 3x + 46 + 5x + 2 + 7x + -18 = 180 Reorder the terms: 46 + 2 + -18 + 3x + 5x + 7x = 180 Combine like terms: 46 + 2 = 48 48 + -18 + 3x + 5x + 7x = 180 Combine like terms: 48 + -18 = 30 30 + 3x + 5x + 7x = 180 Combine like terms: 3x + 5x = 8x 30 + 8x + 7x = 180 Combine like terms: 8x + 7x = 15x 30 + 15x = 180 Solving 30 + 15x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 15x = 180 + -30 Combine like terms: 30 + -30 = 0 0 + 15x = 180 + -30 15x = 180 + -30 Combine like terms: 180 + -30 = 150 15x = 150 Divide each side by '15'. x = 10 Simplifying x = 10
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