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Simplifying 4x + 43 + -6x = 3 + -7x + 5 Reorder the terms: 43 + 4x + -6x = 3 + -7x + 5 Combine like terms: 4x + -6x = -2x 43 + -2x = 3 + -7x + 5 Reorder the terms: 43 + -2x = 3 + 5 + -7x Combine like terms: 3 + 5 = 8 43 + -2x = 8 + -7x Solving 43 + -2x = 8 + -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 + -2x + 7x = 8 + -7x + 7x Combine like terms: -2x + 7x = 5x 43 + 5x = 8 + -7x + 7x Combine like terms: -7x + 7x = 0 43 + 5x = 8 + 0 43 + 5x = 8 Add '-43' to each side of the equation. 43 + -43 + 5x = 8 + -43 Combine like terms: 43 + -43 = 0 0 + 5x = 8 + -43 5x = 8 + -43 Combine like terms: 8 + -43 = -35 5x = -35 Divide each side by '5'. x = -7 Simplifying x = -7
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