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Simplifying -1(x + -5) = 0.5x + 2 Reorder the terms: -1(-5 + x) = 0.5x + 2 (-5 * -1 + x * -1) = 0.5x + 2 (5 + -1x) = 0.5x + 2 Reorder the terms: 5 + -1x = 2 + 0.5x Solving 5 + -1x = 2 + 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 + -1x + -0.5x = 2 + 0.5x + -0.5x Combine like terms: -1x + -0.5x = -1.5x 5 + -1.5x = 2 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 5 + -1.5x = 2 + 0.0 5 + -1.5x = 2 Add '-5' to each side of the equation. 5 + -5 + -1.5x = 2 + -5 Combine like terms: 5 + -5 = 0 0 + -1.5x = 2 + -5 -1.5x = 2 + -5 Combine like terms: 2 + -5 = -3 -1.5x = -3 Divide each side by '-1.5'. x = 2 Simplifying x = 2
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