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Simplifying 3x + 1 = 43 + -4x Reorder the terms: 1 + 3x = 43 + -4x Solving 1 + 3x = 43 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 1 + 3x + 4x = 43 + -4x + 4x Combine like terms: 3x + 4x = 7x 1 + 7x = 43 + -4x + 4x Combine like terms: -4x + 4x = 0 1 + 7x = 43 + 0 1 + 7x = 43 Add '-1' to each side of the equation. 1 + -1 + 7x = 43 + -1 Combine like terms: 1 + -1 = 0 0 + 7x = 43 + -1 7x = 43 + -1 Combine like terms: 43 + -1 = 42 7x = 42 Divide each side by '7'. x = 6 Simplifying x = 6
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