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Simplifying 4x + -1(1 + -7x) = -89 4x + (1 * -1 + -7x * -1) = -89 4x + (-1 + 7x) = -89 Reorder the terms: -1 + 4x + 7x = -89 Combine like terms: 4x + 7x = 11x -1 + 11x = -89 Solving -1 + 11x = -89 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 11x = -89 + 1 Combine like terms: -1 + 1 = 0 0 + 11x = -89 + 1 11x = -89 + 1 Combine like terms: -89 + 1 = -88 11x = -88 Divide each side by '11'. x = -8 Simplifying x = -8
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