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Simplifying -5x + 10 = 0.5x + -20 Reorder the terms: 10 + -5x = 0.5x + -20 Reorder the terms: 10 + -5x = -20 + 0.5x Solving 10 + -5x = -20 + 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. 10 + -5x + -0.5x = -20 + 0.5x + -0.5x Combine like terms: -5x + -0.5x = -5.5x 10 + -5.5x = -20 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 10 + -5.5x = -20 + 0.0 10 + -5.5x = -20 Add '-10' to each side of the equation. 10 + -10 + -5.5x = -20 + -10 Combine like terms: 10 + -10 = 0 0 + -5.5x = -20 + -10 -5.5x = -20 + -10 Combine like terms: -20 + -10 = -30 -5.5x = -30 Divide each side by '-5.5'. x = 5.454545455 Simplifying x = 5.454545455
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