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Simplifying -3(4 + 9x) = 7(-2 + -11x) (4 * -3 + 9x * -3) = 7(-2 + -11x) (-12 + -27x) = 7(-2 + -11x) -12 + -27x = (-2 * 7 + -11x * 7) -12 + -27x = (-14 + -77x) Solving -12 + -27x = -14 + -77x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '77x' to each side of the equation. -12 + -27x + 77x = -14 + -77x + 77x Combine like terms: -27x + 77x = 50x -12 + 50x = -14 + -77x + 77x Combine like terms: -77x + 77x = 0 -12 + 50x = -14 + 0 -12 + 50x = -14 Add '12' to each side of the equation. -12 + 12 + 50x = -14 + 12 Combine like terms: -12 + 12 = 0 0 + 50x = -14 + 12 50x = -14 + 12 Combine like terms: -14 + 12 = -2 50x = -2 Divide each side by '50'. x = -0.04 Simplifying x = -0.04
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