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Simplifying 0.5(x + 8) = 5(x + -1) Reorder the terms: 0.5(8 + x) = 5(x + -1) (8 * 0.5 + x * 0.5) = 5(x + -1) (4 + 0.5x) = 5(x + -1) Reorder the terms: 4 + 0.5x = 5(-1 + x) 4 + 0.5x = (-1 * 5 + x * 5) 4 + 0.5x = (-5 + 5x) Solving 4 + 0.5x = -5 + 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 = -5 + 5x + -5x Combine like terms: 0.5x + -5x = -4.5x 4 + -4.5x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 4 + -4.5x = -5 + 0 4 + -4.5x = -5 Add '-4' to each side of the equation. 4 + -4 + -4.5x = -5 + -4 Combine like terms: 4 + -4 = 0 0 + -4.5x = -5 + -4 -4.5x = -5 + -4 Combine like terms: -5 + -4 = -9 -4.5x = -9 Divide each side by '-4.5'. x = 2 Simplifying x = 2
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