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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 = 21x 48 + 21x = 77 + 11x + -11x Combine like terms: 11x + -11x = 0 48 + 21x = 77 + 0 48 + 21x = 77 Add '-48' to each side of the equation. 48 + -48 + 21x = 77 + -48 Combine like terms: 48 + -48 = 0 0 + 21x = 77 + -48 21x = 77 + -48 Combine like terms: 77 + -48 = 29 21x = 29 Divide each side by '21'. x = 1.380952381 Simplifying x = 1.380952381
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