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Simplifying 0.5x + 2 = 5x + -43 Reorder the terms: 2 + 0.5x = 5x + -43 Reorder the terms: 2 + 0.5x = -43 + 5x Solving 2 + 0.5x = -43 + 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. 2 + 0.5x + -5x = -43 + 5x + -5x Combine like terms: 0.5x + -5x = -4.5x 2 + -4.5x = -43 + 5x + -5x Combine like terms: 5x + -5x = 0 2 + -4.5x = -43 + 0 2 + -4.5x = -43 Add '-2' to each side of the equation. 2 + -2 + -4.5x = -43 + -2 Combine like terms: 2 + -2 = 0 0 + -4.5x = -43 + -2 -4.5x = -43 + -2 Combine like terms: -43 + -2 = -45 -4.5x = -45 Divide each side by '-4.5'. x = 10 Simplifying x = 10
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