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Simplifying 0.50(4x + -8) = 8 + -2x Reorder the terms: 0.50(-8 + 4x) = 8 + -2x (-8 * 0.50 + 4x * 0.50) = 8 + -2x (-4 + 2x) = 8 + -2x Solving -4 + 2x = 8 + -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 + 2x + 2x = 8 + -2x + 2x Combine like terms: 2x + 2x = 4x -4 + 4x = 8 + -2x + 2x Combine like terms: -2x + 2x = 0 -4 + 4x = 8 + 0 -4 + 4x = 8 Add '4' to each side of the equation. -4 + 4 + 4x = 8 + 4 Combine like terms: -4 + 4 = 0 0 + 4x = 8 + 4 4x = 8 + 4 Combine like terms: 8 + 4 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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