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Simplifying 8(4x + 6) = -11(x + 7) Reorder the terms: 8(6 + 4x) = -11(x + 7) (6 * 8 + 4x * 8) = -11(x + 7) (48 + 32x) = -11(x + 7) Reorder the terms: 48 + 32x = -11(7 + x) 48 + 32x = (7 * -11 + x * -11) 48 + 32x = (-77 + -11x) Solving 48 + 32x = -77 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. 48 + 32x + 11x = -77 + -11x + 11x Combine like terms: 32x + 11x = 43x 48 + 43x = -77 + -11x + 11x Combine like terms: -11x + 11x = 0 48 + 43x = -77 + 0 48 + 43x = -77 Add '-48' to each side of the equation. 48 + -48 + 43x = -77 + -48 Combine like terms: 48 + -48 = 0 0 + 43x = -77 + -48 43x = -77 + -48 Combine like terms: -77 + -48 = -125 43x = -125 Divide each side by '43'. x = -2.906976744 Simplifying x = -2.906976744
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