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Simplifying (x + -22) + (2x + -68) + (0.5x + 11) = 180 Reorder the terms: (-22 + x) + (2x + -68) + (0.5x + 11) = 180 Remove parenthesis around (-22 + x) -22 + x + (2x + -68) + (0.5x + 11) = 180 Reorder the terms: -22 + x + (-68 + 2x) + (0.5x + 11) = 180 Remove parenthesis around (-68 + 2x) -22 + x + -68 + 2x + (0.5x + 11) = 180 Reorder the terms: -22 + x + -68 + 2x + (11 + 0.5x) = 180 Remove parenthesis around (11 + 0.5x) -22 + x + -68 + 2x + 11 + 0.5x = 180 Reorder the terms: -22 + -68 + 11 + x + 2x + 0.5x = 180 Combine like terms: -22 + -68 = -90 -90 + 11 + x + 2x + 0.5x = 180 Combine like terms: -90 + 11 = -79 -79 + x + 2x + 0.5x = 180 Combine like terms: x + 2x = 3x -79 + 3x + 0.5x = 180 Combine like terms: 3x + 0.5x = 3.5x -79 + 3.5x = 180 Solving -79 + 3.5x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '79' to each side of the equation. -79 + 79 + 3.5x = 180 + 79 Combine like terms: -79 + 79 = 0 0 + 3.5x = 180 + 79 3.5x = 180 + 79 Combine like terms: 180 + 79 = 259 3.5x = 259 Divide each side by '3.5'. x = 74 Simplifying x = 74
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