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Simplifying 150 = 1.5x + 2x + x + 45 Reorder the terms: 150 = 45 + 1.5x + 2x + x Combine like terms: 1.5x + 2x = 3.5x 150 = 45 + 3.5x + x Combine like terms: 3.5x + x = 4.5x 150 = 45 + 4.5x Solving 150 = 45 + 4.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.5x' to each side of the equation. 150 + -4.5x = 45 + 4.5x + -4.5x Combine like terms: 4.5x + -4.5x = 0.0 150 + -4.5x = 45 + 0.0 150 + -4.5x = 45 Add '-150' to each side of the equation. 150 + -150 + -4.5x = 45 + -150 Combine like terms: 150 + -150 = 0 0 + -4.5x = 45 + -150 -4.5x = 45 + -150 Combine like terms: 45 + -150 = -105 -4.5x = -105 Divide each side by '-4.5'. x = 23.33333333 Simplifying x = 23.33333333
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