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Simplifying 5x + 43 = 10x + -17 Reorder the terms: 43 + 5x = 10x + -17 Reorder the terms: 43 + 5x = -17 + 10x Solving 43 + 5x = -17 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 43 + 5x + -10x = -17 + 10x + -10x Combine like terms: 5x + -10x = -5x 43 + -5x = -17 + 10x + -10x Combine like terms: 10x + -10x = 0 43 + -5x = -17 + 0 43 + -5x = -17 Add '-43' to each side of the equation. 43 + -43 + -5x = -17 + -43 Combine like terms: 43 + -43 = 0 0 + -5x = -17 + -43 -5x = -17 + -43 Combine like terms: -17 + -43 = -60 -5x = -60 Divide each side by '-5'. x = 12 Simplifying x = 12
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