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Simplifying x + 6 = 0.5x + 10.5 Reorder the terms: 6 + x = 0.5x + 10.5 Reorder the terms: 6 + x = 10.5 + 0.5x Solving 6 + x = 10.5 + 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. 6 + x + -0.5x = 10.5 + 0.5x + -0.5x Combine like terms: x + -0.5x = 0.5x 6 + 0.5x = 10.5 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 6 + 0.5x = 10.5 + 0.0 6 + 0.5x = 10.5 Add '-6' to each side of the equation. 6 + -6 + 0.5x = 10.5 + -6 Combine like terms: 6 + -6 = 0 0 + 0.5x = 10.5 + -6 0.5x = 10.5 + -6 Combine like terms: 10.5 + -6 = 4.5 0.5x = 4.5 Divide each side by '0.5'. x = 9 Simplifying x = 9
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