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Simplifying (x + -5) + (x) + (0.75x) + (0.5x + 3) = 180 Reorder the terms: (-5 + x) + (x) + (0.75x) + (0.5x + 3) = 180 Remove parenthesis around (-5 + x) -5 + x + (x) + (0.75x) + (0.5x + 3) = 180 -5 + x + x + (0.75x) + (0.5x + 3) = 180 Reorder the terms: -5 + x + x + (0.75x) + (3 + 0.5x) = 180 Remove parenthesis around (3 + 0.5x) -5 + x + x + (0.75x) + 3 + 0.5x = 180 Reorder the terms: -5 + 3 + x + x + (0.75x) + 0.5x = 180 Combine like terms: -5 + 3 = -2 -2 + x + x + (0.75x) + 0.5x = 180 Combine like terms: x + x = 2x -2 + 2x + (0.75x) + 0.5x = 180 Combine like terms: 2x + (0.75x) = 2.75x -2 + 2.75x + 0.5x = 180 Combine like terms: 2.75x + 0.5x = 3.25x -2 + 3.25x = 180 Solving -2 + 3.25x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 3.25x = 180 + 2 Combine like terms: -2 + 2 = 0 0 + 3.25x = 180 + 2 3.25x = 180 + 2 Combine like terms: 180 + 2 = 182 3.25x = 182 Divide each side by '3.25'. x = 56 Simplifying x = 56
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