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Simplifying -43 = x + -7x + 5 Reorder the terms: -43 = 5 + x + -7x Combine like terms: x + -7x = -6x -43 = 5 + -6x Solving -43 = 5 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -43 + 6x = 5 + -6x + 6x Combine like terms: -6x + 6x = 0 -43 + 6x = 5 + 0 -43 + 6x = 5 Add '43' to each side of the equation. -43 + 43 + 6x = 5 + 43 Combine like terms: -43 + 43 = 0 0 + 6x = 5 + 43 6x = 5 + 43 Combine like terms: 5 + 43 = 48 6x = 48 Divide each side by '6'. x = 8 Simplifying x = 8
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