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Simplifying 0.5(x + -8) + 1.5x = 10 Reorder the terms: 0.5(-8 + x) + 1.5x = 10 (-8 * 0.5 + x * 0.5) + 1.5x = 10 (-4 + 0.5x) + 1.5x = 10 Combine like terms: 0.5x + 1.5x = 2x -4 + 2x = 10 Solving -4 + 2x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 2x = 10 + 4 Combine like terms: -4 + 4 = 0 0 + 2x = 10 + 4 2x = 10 + 4 Combine like terms: 10 + 4 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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