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Simplifying -4x + 1 = -43 + 7x Reorder the terms: 1 + -4x = -43 + 7x Solving 1 + -4x = -43 + 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. 1 + -4x + -7x = -43 + 7x + -7x Combine like terms: -4x + -7x = -11x 1 + -11x = -43 + 7x + -7x Combine like terms: 7x + -7x = 0 1 + -11x = -43 + 0 1 + -11x = -43 Add '-1' to each side of the equation. 1 + -1 + -11x = -43 + -1 Combine like terms: 1 + -1 = 0 0 + -11x = -43 + -1 -11x = -43 + -1 Combine like terms: -43 + -1 = -44 -11x = -44 Divide each side by '-11'. x = 4 Simplifying x = 4
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