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