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Simplifying -43 + 2x = 47 + -4x Solving -43 + 2x = 47 + -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 + 2x + 4x = 47 + -4x + 4x Combine like terms: 2x + 4x = 6x -43 + 6x = 47 + -4x + 4x Combine like terms: -4x + 4x = 0 -43 + 6x = 47 + 0 -43 + 6x = 47 Add '43' to each side of the equation. -43 + 43 + 6x = 47 + 43 Combine like terms: -43 + 43 = 0 0 + 6x = 47 + 43 6x = 47 + 43 Combine like terms: 47 + 43 = 90 6x = 90 Divide each side by '6'. x = 15 Simplifying x = 15
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