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Simplifying 43 = -1x + 7x + 1 Reorder the terms: 43 = 1 + -1x + 7x Combine like terms: -1x + 7x = 6x 43 = 1 + 6x Solving 43 = 1 + 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 = 1 + 6x + -6x Combine like terms: 6x + -6x = 0 43 + -6x = 1 + 0 43 + -6x = 1 Add '-43' to each side of the equation. 43 + -43 + -6x = 1 + -43 Combine like terms: 43 + -43 = 0 0 + -6x = 1 + -43 -6x = 1 + -43 Combine like terms: 1 + -43 = -42 -6x = -42 Divide each side by '-6'. x = 7 Simplifying x = 7
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