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Simplifying 3x + 43 = 58 + -2x Reorder the terms: 43 + 3x = 58 + -2x Solving 43 + 3x = 58 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 43 + 3x + 2x = 58 + -2x + 2x Combine like terms: 3x + 2x = 5x 43 + 5x = 58 + -2x + 2x Combine like terms: -2x + 2x = 0 43 + 5x = 58 + 0 43 + 5x = 58 Add '-43' to each side of the equation. 43 + -43 + 5x = 58 + -43 Combine like terms: 43 + -43 = 0 0 + 5x = 58 + -43 5x = 58 + -43 Combine like terms: 58 + -43 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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