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Simplifying 4x + -12 + 6x + -17 + 2x + 5 = 180 Reorder the terms: -12 + -17 + 5 + 4x + 6x + 2x = 180 Combine like terms: -12 + -17 = -29 -29 + 5 + 4x + 6x + 2x = 180 Combine like terms: -29 + 5 = -24 -24 + 4x + 6x + 2x = 180 Combine like terms: 4x + 6x = 10x -24 + 10x + 2x = 180 Combine like terms: 10x + 2x = 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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