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Simplifying 42x + 4 = 43x + 1 Reorder the terms: 4 + 42x = 43x + 1 Reorder the terms: 4 + 42x = 1 + 43x Solving 4 + 42x = 1 + 43x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-43x' to each side of the equation. 4 + 42x + -43x = 1 + 43x + -43x Combine like terms: 42x + -43x = -1x 4 + -1x = 1 + 43x + -43x Combine like terms: 43x + -43x = 0 4 + -1x = 1 + 0 4 + -1x = 1 Add '-4' to each side of the equation. 4 + -4 + -1x = 1 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 1 + -4 -1x = 1 + -4 Combine like terms: 1 + -4 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3
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