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Simplifying 0.5(x + -4y) + 8 = 10 (x * 0.5 + -4y * 0.5) + 8 = 10 (0.5x + -2y) + 8 = 10 Reorder the terms: 8 + 0.5x + -2y = 10 Solving 8 + 0.5x + -2y = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 0.5x + -8 + -2y = 10 + -8 Reorder the terms: 8 + -8 + 0.5x + -2y = 10 + -8 Combine like terms: 8 + -8 = 0 0 + 0.5x + -2y = 10 + -8 0.5x + -2y = 10 + -8 Combine like terms: 10 + -8 = 2 0.5x + -2y = 2 Add '2y' to each side of the equation. 0.5x + -2y + 2y = 2 + 2y Combine like terms: -2y + 2y = 0 0.5x + 0 = 2 + 2y 0.5x = 2 + 2y Divide each side by '0.5'. x = 4 + 4y Simplifying x = 4 + 4y
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