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Simplifying -0.5x + 1 = 0.5x + -5 Reorder the terms: 1 + -0.5x = 0.5x + -5 Reorder the terms: 1 + -0.5x = -5 + 0.5x Solving 1 + -0.5x = -5 + 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. 1 + -0.5x + -0.5x = -5 + 0.5x + -0.5x Combine like terms: -0.5x + -0.5x = -1x 1 + -1x = -5 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 1 + -1x = -5 + 0.0 1 + -1x = -5 Add '-1' to each side of the equation. 1 + -1 + -1x = -5 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = -5 + -1 -1x = -5 + -1 Combine like terms: -5 + -1 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6
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