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Simplifying 0.5x + 5 = 0.5(2 + -1x) Reorder the terms: 5 + 0.5x = 0.5(2 + -1x) 5 + 0.5x = (2 * 0.5 + -1x * 0.5) 5 + 0.5x = (1 + -0.5x) Solving 5 + 0.5x = 1 + -0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5x' to each side of the equation. 5 + 0.5x + 0.5x = 1 + -0.5x + 0.5x Combine like terms: 0.5x + 0.5x = 1x 5 + 1x = 1 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 5 + 1x = 1 + 0.0 5 + 1x = 1 Add '-5' to each side of the equation. 5 + -5 + 1x = 1 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = 1 + -5 1x = 1 + -5 Combine like terms: 1 + -5 = -4 1x = -4 Divide each side by '1'. x = -4 Simplifying x = -4
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