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Simplifying x + -28 + 2x + -100 + 0.5x + 14 = 180 Reorder the terms: -28 + -100 + 14 + x + 2x + 0.5x = 180 Combine like terms: -28 + -100 = -128 -128 + 14 + x + 2x + 0.5x = 180 Combine like terms: -128 + 14 = -114 -114 + x + 2x + 0.5x = 180 Combine like terms: x + 2x = 3x -114 + 3x + 0.5x = 180 Combine like terms: 3x + 0.5x = 3.5x -114 + 3.5x = 180 Solving -114 + 3.5x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '114' to each side of the equation. -114 + 114 + 3.5x = 180 + 114 Combine like terms: -114 + 114 = 0 0 + 3.5x = 180 + 114 3.5x = 180 + 114 Combine like terms: 180 + 114 = 294 3.5x = 294 Divide each side by '3.5'. x = 84 Simplifying x = 84
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