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Simplifying 4 + x = 10 + 0.5x Solving 4 + x = 10 + 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. 4 + x + -0.5x = 10 + 0.5x + -0.5x Combine like terms: x + -0.5x = 0.5x 4 + 0.5x = 10 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 4 + 0.5x = 10 + 0.0 4 + 0.5x = 10 Add '-4' to each side of the equation. 4 + -4 + 0.5x = 10 + -4 Combine like terms: 4 + -4 = 0 0 + 0.5x = 10 + -4 0.5x = 10 + -4 Combine like terms: 10 + -4 = 6 0.5x = 6 Divide each side by '0.5'. x = 12 Simplifying x = 12
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