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Simplifying x + -43 = -6x + 27 Reorder the terms: -43 + x = -6x + 27 Reorder the terms: -43 + x = 27 + -6x Solving -43 + x = 27 + -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 + x + 6x = 27 + -6x + 6x Combine like terms: x + 6x = 7x -43 + 7x = 27 + -6x + 6x Combine like terms: -6x + 6x = 0 -43 + 7x = 27 + 0 -43 + 7x = 27 Add '43' to each side of the equation. -43 + 43 + 7x = 27 + 43 Combine like terms: -43 + 43 = 0 0 + 7x = 27 + 43 7x = 27 + 43 Combine like terms: 27 + 43 = 70 7x = 70 Divide each side by '7'. x = 10 Simplifying x = 10
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