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Simplifying x + -26 + 2x + -164 + 0.5x + 13 = 180 Reorder the terms: -26 + -164 + 13 + x + 2x + 0.5x = 180 Combine like terms: -26 + -164 = -190 -190 + 13 + x + 2x + 0.5x = 180 Combine like terms: -190 + 13 = -177 -177 + x + 2x + 0.5x = 180 Combine like terms: x + 2x = 3x -177 + 3x + 0.5x = 180 Combine like terms: 3x + 0.5x = 3.5x -177 + 3.5x = 180 Solving -177 + 3.5x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '177' to each side of the equation. -177 + 177 + 3.5x = 180 + 177 Combine like terms: -177 + 177 = 0 0 + 3.5x = 180 + 177 3.5x = 180 + 177 Combine like terms: 180 + 177 = 357 3.5x = 357 Divide each side by '3.5'. x = 102 Simplifying x = 102
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