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Simplifying 3x + 24 + x + 48 + 0.5x + 54 = 180 Reorder the terms: 24 + 48 + 54 + 3x + x + 0.5x = 180 Combine like terms: 24 + 48 = 72 72 + 54 + 3x + x + 0.5x = 180 Combine like terms: 72 + 54 = 126 126 + 3x + x + 0.5x = 180 Combine like terms: 3x + x = 4x 126 + 4x + 0.5x = 180 Combine like terms: 4x + 0.5x = 4.5x 126 + 4.5x = 180 Solving 126 + 4.5x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-126' to each side of the equation. 126 + -126 + 4.5x = 180 + -126 Combine like terms: 126 + -126 = 0 0 + 4.5x = 180 + -126 4.5x = 180 + -126 Combine like terms: 180 + -126 = 54 4.5x = 54 Divide each side by '4.5'. x = 12 Simplifying x = 12
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