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Simplifying 0.5(x + -8) = 14 + 5x Reorder the terms: 0.5(-8 + x) = 14 + 5x (-8 * 0.5 + x * 0.5) = 14 + 5x (-4 + 0.5x) = 14 + 5x Solving -4 + 0.5x = 14 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -4 + 0.5x + -5x = 14 + 5x + -5x Combine like terms: 0.5x + -5x = -4.5x -4 + -4.5x = 14 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + -4.5x = 14 + 0 -4 + -4.5x = 14 Add '4' to each side of the equation. -4 + 4 + -4.5x = 14 + 4 Combine like terms: -4 + 4 = 0 0 + -4.5x = 14 + 4 -4.5x = 14 + 4 Combine like terms: 14 + 4 = 18 -4.5x = 18 Divide each side by '-4.5'. x = -4 Simplifying x = -4
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