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Simplifying 0.5(10x + -8) = 6 + -2x Reorder the terms: 0.5(-8 + 10x) = 6 + -2x (-8 * 0.5 + 10x * 0.5) = 6 + -2x (-4 + 5x) = 6 + -2x Solving -4 + 5x = 6 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -4 + 5x + 2x = 6 + -2x + 2x Combine like terms: 5x + 2x = 7x -4 + 7x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 -4 + 7x = 6 + 0 -4 + 7x = 6 Add '4' to each side of the equation. -4 + 4 + 7x = 6 + 4 Combine like terms: -4 + 4 = 0 0 + 7x = 6 + 4 7x = 6 + 4 Combine like terms: 6 + 4 = 10 7x = 10 Divide each side by '7'. x = 1.428571429 Simplifying x = 1.428571429
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