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Simplifying (0.5)(4x + -8) = (x + 2) Reorder the terms: 0.5(-8 + 4x) = (x + 2) (-8 * 0.5 + 4x * 0.5) = (x + 2) (-4 + 2x) = (x + 2) Reorder the terms: -4 + 2x = (2 + x) Remove parenthesis around (2 + x) -4 + 2x = 2 + x Solving -4 + 2x = 2 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -4 + 2x + -1x = 2 + x + -1x Combine like terms: 2x + -1x = 1x -4 + 1x = 2 + x + -1x Combine like terms: x + -1x = 0 -4 + 1x = 2 + 0 -4 + 1x = 2 Add '4' to each side of the equation. -4 + 4 + 1x = 2 + 4 Combine like terms: -4 + 4 = 0 0 + 1x = 2 + 4 1x = 2 + 4 Combine like terms: 2 + 4 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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