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Simplifying 4x + 30 + 5x + -10 + 6x + 40 = 180 Reorder the terms: 30 + -10 + 40 + 4x + 5x + 6x = 180 Combine like terms: 30 + -10 = 20 20 + 40 + 4x + 5x + 6x = 180 Combine like terms: 20 + 40 = 60 60 + 4x + 5x + 6x = 180 Combine like terms: 4x + 5x = 9x 60 + 9x + 6x = 180 Combine like terms: 9x + 6x = 15x 60 + 15x = 180 Solving 60 + 15x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + 15x = 180 + -60 Combine like terms: 60 + -60 = 0 0 + 15x = 180 + -60 15x = 180 + -60 Combine like terms: 180 + -60 = 120 15x = 120 Divide each side by '15'. x = 8 Simplifying x = 8
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