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Simplifying (x + -26) + (4x + -294) + (0.5x + 16) = 180 Reorder the terms: (-26 + x) + (4x + -294) + (0.5x + 16) = 180 Remove parenthesis around (-26 + x) -26 + x + (4x + -294) + (0.5x + 16) = 180 Reorder the terms: -26 + x + (-294 + 4x) + (0.5x + 16) = 180 Remove parenthesis around (-294 + 4x) -26 + x + -294 + 4x + (0.5x + 16) = 180 Reorder the terms: -26 + x + -294 + 4x + (16 + 0.5x) = 180 Remove parenthesis around (16 + 0.5x) -26 + x + -294 + 4x + 16 + 0.5x = 180 Reorder the terms: -26 + -294 + 16 + x + 4x + 0.5x = 180 Combine like terms: -26 + -294 = -320 -320 + 16 + x + 4x + 0.5x = 180 Combine like terms: -320 + 16 = -304 -304 + x + 4x + 0.5x = 180 Combine like terms: x + 4x = 5x -304 + 5x + 0.5x = 180 Combine like terms: 5x + 0.5x = 5.5x -304 + 5.5x = 180 Solving -304 + 5.5x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '304' to each side of the equation. -304 + 304 + 5.5x = 180 + 304 Combine like terms: -304 + 304 = 0 0 + 5.5x = 180 + 304 5.5x = 180 + 304 Combine like terms: 180 + 304 = 484 5.5x = 484 Divide each side by '5.5'. x = 88 Simplifying x = 88
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