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Simplifying 150 = 0.5x + 2x + 45 + x Reorder the terms: 150 = 45 + 0.5x + 2x + x Combine like terms: 0.5x + 2x = 2.5x 150 = 45 + 2.5x + x Combine like terms: 2.5x + x = 3.5x 150 = 45 + 3.5x Solving 150 = 45 + 3.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.5x' to each side of the equation. 150 + -3.5x = 45 + 3.5x + -3.5x Combine like terms: 3.5x + -3.5x = 0.0 150 + -3.5x = 45 + 0.0 150 + -3.5x = 45 Add '-150' to each side of the equation. 150 + -150 + -3.5x = 45 + -150 Combine like terms: 150 + -150 = 0 0 + -3.5x = 45 + -150 -3.5x = 45 + -150 Combine like terms: 45 + -150 = -105 -3.5x = -105 Divide each side by '-3.5'. x = 30 Simplifying x = 30
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