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Simplifying 4x + 43 + -5x = 3 + -8x + 5 Reorder the terms: 43 + 4x + -5x = 3 + -8x + 5 Combine like terms: 4x + -5x = -1x 43 + -1x = 3 + -8x + 5 Reorder the terms: 43 + -1x = 3 + 5 + -8x Combine like terms: 3 + 5 = 8 43 + -1x = 8 + -8x Solving 43 + -1x = 8 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 43 + -1x + 8x = 8 + -8x + 8x Combine like terms: -1x + 8x = 7x 43 + 7x = 8 + -8x + 8x Combine like terms: -8x + 8x = 0 43 + 7x = 8 + 0 43 + 7x = 8 Add '-43' to each side of the equation. 43 + -43 + 7x = 8 + -43 Combine like terms: 43 + -43 = 0 0 + 7x = 8 + -43 7x = 8 + -43 Combine like terms: 8 + -43 = -35 7x = -35 Divide each side by '7'. x = -5 Simplifying x = -5
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