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