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Simplifying 8 + 0.7x = 0.5x + 10 Reorder the terms: 8 + 0.7x = 10 + 0.5x Solving 8 + 0.7x = 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. 8 + 0.7x + -0.5x = 10 + 0.5x + -0.5x Combine like terms: 0.7x + -0.5x = 0.2x 8 + 0.2x = 10 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 8 + 0.2x = 10 + 0.0 8 + 0.2x = 10 Add '-8' to each side of the equation. 8 + -8 + 0.2x = 10 + -8 Combine like terms: 8 + -8 = 0 0 + 0.2x = 10 + -8 0.2x = 10 + -8 Combine like terms: 10 + -8 = 2 0.2x = 2 Divide each side by '0.2'. x = 10 Simplifying x = 10
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