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Simplifying 5x + 150 = 0.5x + 105 Reorder the terms: 150 + 5x = 0.5x + 105 Reorder the terms: 150 + 5x = 105 + 0.5x Solving 150 + 5x = 105 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 150 + 5x + -0.5x = 105 + 0.5x + -0.5x Combine like terms: 5x + -0.5x = 4.5x 150 + 4.5x = 105 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 150 + 4.5x = 105 + 0.0 150 + 4.5x = 105 Add '-150' to each side of the equation. 150 + -150 + 4.5x = 105 + -150 Combine like terms: 150 + -150 = 0 0 + 4.5x = 105 + -150 4.5x = 105 + -150 Combine like terms: 105 + -150 = -45 4.5x = -45 Divide each side by '4.5'. x = -10 Simplifying x = -10
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