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Simplifying 3x + -43 = -4x + 5 Reorder the terms: -43 + 3x = -4x + 5 Reorder the terms: -43 + 3x = 5 + -4x Solving -43 + 3x = 5 + -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. -43 + 3x + 4x = 5 + -4x + 4x Combine like terms: 3x + 4x = 7x -43 + 7x = 5 + -4x + 4x Combine like terms: -4x + 4x = 0 -43 + 7x = 5 + 0 -43 + 7x = 5 Add '43' to each side of the equation. -43 + 43 + 7x = 5 + 43 Combine like terms: -43 + 43 = 0 0 + 7x = 5 + 43 7x = 5 + 43 Combine like terms: 5 + 43 = 48 7x = 48 Divide each side by '7'. x = 6.857142857 Simplifying x = 6.857142857
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