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Simplifying 3x + -4.5x + 9 = 12 + -2x Reorder the terms: 9 + 3x + -4.5x = 12 + -2x Combine like terms: 3x + -4.5x = -1.5x 9 + -1.5x = 12 + -2x Solving 9 + -1.5x = 12 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 9 + -1.5x + 2x = 12 + -2x + 2x Combine like terms: -1.5x + 2x = 0.5x 9 + 0.5x = 12 + -2x + 2x Combine like terms: -2x + 2x = 0 9 + 0.5x = 12 + 0 9 + 0.5x = 12 Add '-9' to each side of the equation. 9 + -9 + 0.5x = 12 + -9 Combine like terms: 9 + -9 = 0 0 + 0.5x = 12 + -9 0.5x = 12 + -9 Combine like terms: 12 + -9 = 3 0.5x = 3 Divide each side by '0.5'. x = 6 Simplifying x = 6
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