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Simplifying 5 + 6x + -2 = 9 + -0.5x Reorder the terms: 5 + -2 + 6x = 9 + -0.5x Combine like terms: 5 + -2 = 3 3 + 6x = 9 + -0.5x Solving 3 + 6x = 9 + -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. 3 + 6x + 0.5x = 9 + -0.5x + 0.5x Combine like terms: 6x + 0.5x = 6.5x 3 + 6.5x = 9 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 3 + 6.5x = 9 + 0.0 3 + 6.5x = 9 Add '-3' to each side of the equation. 3 + -3 + 6.5x = 9 + -3 Combine like terms: 3 + -3 = 0 0 + 6.5x = 9 + -3 6.5x = 9 + -3 Combine like terms: 9 + -3 = 6 6.5x = 6 Divide each side by '6.5'. x = 0.9230769231 Simplifying x = 0.9230769231
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