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Simplifying 10x + 43 = -32 + 5x Reorder the terms: 43 + 10x = -32 + 5x Solving 43 + 10x = -32 + 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. 43 + 10x + -5x = -32 + 5x + -5x Combine like terms: 10x + -5x = 5x 43 + 5x = -32 + 5x + -5x Combine like terms: 5x + -5x = 0 43 + 5x = -32 + 0 43 + 5x = -32 Add '-43' to each side of the equation. 43 + -43 + 5x = -32 + -43 Combine like terms: 43 + -43 = 0 0 + 5x = -32 + -43 5x = -32 + -43 Combine like terms: -32 + -43 = -75 5x = -75 Divide each side by '5'. x = -15 Simplifying x = -15
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