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Simplifying 0.5x + 9 = 2x + -6 Reorder the terms: 9 + 0.5x = 2x + -6 Reorder the terms: 9 + 0.5x = -6 + 2x Solving 9 + 0.5x = -6 + 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 + 0.5x + -2x = -6 + 2x + -2x Combine like terms: 0.5x + -2x = -1.5x 9 + -1.5x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 9 + -1.5x = -6 + 0 9 + -1.5x = -6 Add '-9' to each side of the equation. 9 + -9 + -1.5x = -6 + -9 Combine like terms: 9 + -9 = 0 0 + -1.5x = -6 + -9 -1.5x = -6 + -9 Combine like terms: -6 + -9 = -15 -1.5x = -15 Divide each side by '-1.5'. x = 10 Simplifying x = 10
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