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Simplifying -8(4 + 7x) = 7(-2 + -11x) (4 * -8 + 7x * -8) = 7(-2 + -11x) (-32 + -56x) = 7(-2 + -11x) -32 + -56x = (-2 * 7 + -11x * 7) -32 + -56x = (-14 + -77x) Solving -32 + -56x = -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. -32 + -56x + 77x = -14 + -77x + 77x Combine like terms: -56x + 77x = 21x -32 + 21x = -14 + -77x + 77x Combine like terms: -77x + 77x = 0 -32 + 21x = -14 + 0 -32 + 21x = -14 Add '32' to each side of the equation. -32 + 32 + 21x = -14 + 32 Combine like terms: -32 + 32 = 0 0 + 21x = -14 + 32 21x = -14 + 32 Combine like terms: -14 + 32 = 18 21x = 18 Divide each side by '21'. x = 0.8571428571 Simplifying x = 0.8571428571
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