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Simplifying (X + -27) + (3x + -205) + (0.5x + 16) = 180 Reorder the terms: (-27 + X) + (3x + -205) + (0.5x + 16) = 180 Remove parenthesis around (-27 + X) -27 + X + (3x + -205) + (0.5x + 16) = 180 Reorder the terms: -27 + X + (-205 + 3x) + (0.5x + 16) = 180 Remove parenthesis around (-205 + 3x) -27 + X + -205 + 3x + (0.5x + 16) = 180 Reorder the terms: -27 + X + -205 + 3x + (16 + 0.5x) = 180 Remove parenthesis around (16 + 0.5x) -27 + X + -205 + 3x + 16 + 0.5x = 180 Reorder the terms: -27 + -205 + 16 + X + 3x + 0.5x = 180 Combine like terms: -27 + -205 = -232 -232 + 16 + X + 3x + 0.5x = 180 Combine like terms: -232 + 16 = -216 -216 + X + 3x + 0.5x = 180 Combine like terms: 3x + 0.5x = 3.5x -216 + X + 3.5x = 180 Solving -216 + X + 3.5x = 180 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '216' to each side of the equation. -216 + X + 216 + 3.5x = 180 + 216 Reorder the terms: -216 + 216 + X + 3.5x = 180 + 216 Combine like terms: -216 + 216 = 0 0 + X + 3.5x = 180 + 216 X + 3.5x = 180 + 216 Combine like terms: 180 + 216 = 396 X + 3.5x = 396 Add '-3.5x' to each side of the equation. X + 3.5x + -3.5x = 396 + -3.5x Combine like terms: 3.5x + -3.5x = 0.0 X + 0.0 = 396 + -3.5x X = 396 + -3.5x Simplifying X = 396 + -3.5x
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