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Simplifying 0.5(2x + -4) = 2 + 8x Reorder the terms: 0.5(-4 + 2x) = 2 + 8x (-4 * 0.5 + 2x * 0.5) = 2 + 8x (-2 + 1x) = 2 + 8x Solving -2 + 1x = 2 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -2 + 1x + -8x = 2 + 8x + -8x Combine like terms: 1x + -8x = -7x -2 + -7x = 2 + 8x + -8x Combine like terms: 8x + -8x = 0 -2 + -7x = 2 + 0 -2 + -7x = 2 Add '2' to each side of the equation. -2 + 2 + -7x = 2 + 2 Combine like terms: -2 + 2 = 0 0 + -7x = 2 + 2 -7x = 2 + 2 Combine like terms: 2 + 2 = 4 -7x = 4 Divide each side by '-7'. x = -0.5714285714 Simplifying x = -0.5714285714
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