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Simplifying 4x + 9 = 18 + -0.5x Reorder the terms: 9 + 4x = 18 + -0.5x Solving 9 + 4x = 18 + -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. 9 + 4x + 0.5x = 18 + -0.5x + 0.5x Combine like terms: 4x + 0.5x = 4.5x 9 + 4.5x = 18 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 9 + 4.5x = 18 + 0.0 9 + 4.5x = 18 Add '-9' to each side of the equation. 9 + -9 + 4.5x = 18 + -9 Combine like terms: 9 + -9 = 0 0 + 4.5x = 18 + -9 4.5x = 18 + -9 Combine like terms: 18 + -9 = 9 4.5x = 9 Divide each side by '4.5'. x = 2 Simplifying x = 2
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