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Simplifying (X + -28) + (2x + -79) + (0.5x + 14) = 180 Reorder the terms: (-28 + X) + (2x + -79) + (0.5x + 14) = 180 Remove parenthesis around (-28 + X) -28 + X + (2x + -79) + (0.5x + 14) = 180 Reorder the terms: -28 + X + (-79 + 2x) + (0.5x + 14) = 180 Remove parenthesis around (-79 + 2x) -28 + X + -79 + 2x + (0.5x + 14) = 180 Reorder the terms: -28 + X + -79 + 2x + (14 + 0.5x) = 180 Remove parenthesis around (14 + 0.5x) -28 + X + -79 + 2x + 14 + 0.5x = 180 Reorder the terms: -28 + -79 + 14 + X + 2x + 0.5x = 180 Combine like terms: -28 + -79 = -107 -107 + 14 + X + 2x + 0.5x = 180 Combine like terms: -107 + 14 = -93 -93 + X + 2x + 0.5x = 180 Combine like terms: 2x + 0.5x = 2.5x -93 + X + 2.5x = 180 Solving -93 + X + 2.5x = 180 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '93' to each side of the equation. -93 + X + 93 + 2.5x = 180 + 93 Reorder the terms: -93 + 93 + X + 2.5x = 180 + 93 Combine like terms: -93 + 93 = 0 0 + X + 2.5x = 180 + 93 X + 2.5x = 180 + 93 Combine like terms: 180 + 93 = 273 X + 2.5x = 273 Add '-2.5x' to each side of the equation. X + 2.5x + -2.5x = 273 + -2.5x Combine like terms: 2.5x + -2.5x = 0.0 X + 0.0 = 273 + -2.5x X = 273 + -2.5x Simplifying X = 273 + -2.5x
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