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Simplifying -7(11 + 11x) = -9(9x + 1) (11 * -7 + 11x * -7) = -9(9x + 1) (-77 + -77x) = -9(9x + 1) Reorder the terms: -77 + -77x = -9(1 + 9x) -77 + -77x = (1 * -9 + 9x * -9) -77 + -77x = (-9 + -81x) Solving -77 + -77x = -9 + -81x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '81x' to each side of the equation. -77 + -77x + 81x = -9 + -81x + 81x Combine like terms: -77x + 81x = 4x -77 + 4x = -9 + -81x + 81x Combine like terms: -81x + 81x = 0 -77 + 4x = -9 + 0 -77 + 4x = -9 Add '77' to each side of the equation. -77 + 77 + 4x = -9 + 77 Combine like terms: -77 + 77 = 0 0 + 4x = -9 + 77 4x = -9 + 77 Combine like terms: -9 + 77 = 68 4x = 68 Divide each side by '4'. x = 17 Simplifying x = 17
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