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Simplifying -0.2x + 8 = 0.5x + -10 Reorder the terms: 8 + -0.2x = 0.5x + -10 Reorder the terms: 8 + -0.2x = -10 + 0.5x Solving 8 + -0.2x = -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 + -0.2x + -0.5x = -10 + 0.5x + -0.5x Combine like terms: -0.2x + -0.5x = -0.7x 8 + -0.7x = -10 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 8 + -0.7x = -10 + 0.0 8 + -0.7x = -10 Add '-8' to each side of the equation. 8 + -8 + -0.7x = -10 + -8 Combine like terms: 8 + -8 = 0 0 + -0.7x = -10 + -8 -0.7x = -10 + -8 Combine like terms: -10 + -8 = -18 -0.7x = -18 Divide each side by '-0.7'. x = 25.71428571 Simplifying x = 25.71428571
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