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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 = 149x 32 + 149x = -14 + -77x + 77x Combine like terms: -77x + 77x = 0 32 + 149x = -14 + 0 32 + 149x = -14 Add '-32' to each side of the equation. 32 + -32 + 149x = -14 + -32 Combine like terms: 32 + -32 = 0 0 + 149x = -14 + -32 149x = -14 + -32 Combine like terms: -14 + -32 = -46 149x = -46 Divide each side by '149'. x = -0.3087248322 Simplifying x = -0.3087248322
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