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Simplifying -8(4 + 9x) = 7(2 + -11x) (4 * -8 + 9x * -8) = 7(2 + -11x) (-32 + -72x) = 7(2 + -11x) -32 + -72x = (2 * 7 + -11x * 7) -32 + -72x = (14 + -77x) Solving -32 + -72x = 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 + -72x + 77x = 14 + -77x + 77x Combine like terms: -72x + 77x = 5x -32 + 5x = 14 + -77x + 77x Combine like terms: -77x + 77x = 0 -32 + 5x = 14 + 0 -32 + 5x = 14 Add '32' to each side of the equation. -32 + 32 + 5x = 14 + 32 Combine like terms: -32 + 32 = 0 0 + 5x = 14 + 32 5x = 14 + 32 Combine like terms: 14 + 32 = 46 5x = 46 Divide each side by '5'. x = 9.2 Simplifying x = 9.2
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