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Simplifying -9 + 0.5x = -5x + -42 Reorder the terms: -9 + 0.5x = -42 + -5x Solving -9 + 0.5x = -42 + -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. -9 + 0.5x + 5x = -42 + -5x + 5x Combine like terms: 0.5x + 5x = 5.5x -9 + 5.5x = -42 + -5x + 5x Combine like terms: -5x + 5x = 0 -9 + 5.5x = -42 + 0 -9 + 5.5x = -42 Add '9' to each side of the equation. -9 + 9 + 5.5x = -42 + 9 Combine like terms: -9 + 9 = 0 0 + 5.5x = -42 + 9 5.5x = -42 + 9 Combine like terms: -42 + 9 = -33 5.5x = -33 Divide each side by '5.5'. x = -6 Simplifying x = -6
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