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Simplifying -1x + 0.5 = 5x + -47.5 Reorder the terms: 0.5 + -1x = 5x + -47.5 Reorder the terms: 0.5 + -1x = -47.5 + 5x Solving 0.5 + -1x = -47.5 + 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. 0.5 + -1x + -5x = -47.5 + 5x + -5x Combine like terms: -1x + -5x = -6x 0.5 + -6x = -47.5 + 5x + -5x Combine like terms: 5x + -5x = 0 0.5 + -6x = -47.5 + 0 0.5 + -6x = -47.5 Add '-0.5' to each side of the equation. 0.5 + -0.5 + -6x = -47.5 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -6x = -47.5 + -0.5 -6x = -47.5 + -0.5 Combine like terms: -47.5 + -0.5 = -48 -6x = -48 Divide each side by '-6'. x = 8 Simplifying x = 8
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