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Simplifying 2.5x + 9 = -0.5x + 12 Reorder the terms: 9 + 2.5x = -0.5x + 12 Reorder the terms: 9 + 2.5x = 12 + -0.5x Solving 9 + 2.5x = 12 + -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 + 2.5x + 0.5x = 12 + -0.5x + 0.5x Combine like terms: 2.5x + 0.5x = 3x 9 + 3x = 12 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 9 + 3x = 12 + 0.0 9 + 3x = 12 Add '-9' to each side of the equation. 9 + -9 + 3x = 12 + -9 Combine like terms: 9 + -9 = 0 0 + 3x = 12 + -9 3x = 12 + -9 Combine like terms: 12 + -9 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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