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Simplifying 4x + 43 + -5x = 3 + -7x + 4 Reorder the terms: 43 + 4x + -5x = 3 + -7x + 4 Combine like terms: 4x + -5x = -1x 43 + -1x = 3 + -7x + 4 Reorder the terms: 43 + -1x = 3 + 4 + -7x Combine like terms: 3 + 4 = 7 43 + -1x = 7 + -7x Solving 43 + -1x = 7 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 43 + -1x + 7x = 7 + -7x + 7x Combine like terms: -1x + 7x = 6x 43 + 6x = 7 + -7x + 7x Combine like terms: -7x + 7x = 0 43 + 6x = 7 + 0 43 + 6x = 7 Add '-43' to each side of the equation. 43 + -43 + 6x = 7 + -43 Combine like terms: 43 + -43 = 0 0 + 6x = 7 + -43 6x = 7 + -43 Combine like terms: 7 + -43 = -36 6x = -36 Divide each side by '6'. x = -6 Simplifying x = -6
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