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Simplifying 6(7x + 11) = 5(6x + -7) Reorder the terms: 6(11 + 7x) = 5(6x + -7) (11 * 6 + 7x * 6) = 5(6x + -7) (66 + 42x) = 5(6x + -7) Reorder the terms: 66 + 42x = 5(-7 + 6x) 66 + 42x = (-7 * 5 + 6x * 5) 66 + 42x = (-35 + 30x) Solving 66 + 42x = -35 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 66 + 42x + -30x = -35 + 30x + -30x Combine like terms: 42x + -30x = 12x 66 + 12x = -35 + 30x + -30x Combine like terms: 30x + -30x = 0 66 + 12x = -35 + 0 66 + 12x = -35 Add '-66' to each side of the equation. 66 + -66 + 12x = -35 + -66 Combine like terms: 66 + -66 = 0 0 + 12x = -35 + -66 12x = -35 + -66 Combine like terms: -35 + -66 = -101 12x = -101 Divide each side by '12'. x = -8.416666667 Simplifying x = -8.416666667
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