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Simplifying 0.5x + 9 = 2.5x + -3 Reorder the terms: 9 + 0.5x = 2.5x + -3 Reorder the terms: 9 + 0.5x = -3 + 2.5x Solving 9 + 0.5x = -3 + 2.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5x' to each side of the equation. 9 + 0.5x + -2.5x = -3 + 2.5x + -2.5x Combine like terms: 0.5x + -2.5x = -2x 9 + -2x = -3 + 2.5x + -2.5x Combine like terms: 2.5x + -2.5x = 0.0 9 + -2x = -3 + 0.0 9 + -2x = -3 Add '-9' to each side of the equation. 9 + -9 + -2x = -3 + -9 Combine like terms: 9 + -9 = 0 0 + -2x = -3 + -9 -2x = -3 + -9 Combine like terms: -3 + -9 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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