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Simplifying 0.5x + -3.5 = 5x + 10 Reorder the terms: -3.5 + 0.5x = 5x + 10 Reorder the terms: -3.5 + 0.5x = 10 + 5x Solving -3.5 + 0.5x = 10 + 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. -3.5 + 0.5x + -5x = 10 + 5x + -5x Combine like terms: 0.5x + -5x = -4.5x -3.5 + -4.5x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 -3.5 + -4.5x = 10 + 0 -3.5 + -4.5x = 10 Add '3.5' to each side of the equation. -3.5 + 3.5 + -4.5x = 10 + 3.5 Combine like terms: -3.5 + 3.5 = 0.0 0.0 + -4.5x = 10 + 3.5 -4.5x = 10 + 3.5 Combine like terms: 10 + 3.5 = 13.5 -4.5x = 13.5 Divide each side by '-4.5'. x = -3 Simplifying x = -3
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