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Simplifying 2x + 5 + 4x + -12 + 6x + -17 = 180 Reorder the terms: 5 + -12 + -17 + 2x + 4x + 6x = 180 Combine like terms: 5 + -12 = -7 -7 + -17 + 2x + 4x + 6x = 180 Combine like terms: -7 + -17 = -24 -24 + 2x + 4x + 6x = 180 Combine like terms: 2x + 4x = 6x -24 + 6x + 6x = 180 Combine like terms: 6x + 6x = 12x -24 + 12x = 180 Solving -24 + 12x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 12x = 180 + 24 Combine like terms: -24 + 24 = 0 0 + 12x = 180 + 24 12x = 180 + 24 Combine like terms: 180 + 24 = 204 12x = 204 Divide each side by '12'. x = 17 Simplifying x = 17
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