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Simplifying 6(7x + 4) = 30x + -5 Reorder the terms: 6(4 + 7x) = 30x + -5 (4 * 6 + 7x * 6) = 30x + -5 (24 + 42x) = 30x + -5 Reorder the terms: 24 + 42x = -5 + 30x Solving 24 + 42x = -5 + 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. 24 + 42x + -30x = -5 + 30x + -30x Combine like terms: 42x + -30x = 12x 24 + 12x = -5 + 30x + -30x Combine like terms: 30x + -30x = 0 24 + 12x = -5 + 0 24 + 12x = -5 Add '-24' to each side of the equation. 24 + -24 + 12x = -5 + -24 Combine like terms: 24 + -24 = 0 0 + 12x = -5 + -24 12x = -5 + -24 Combine like terms: -5 + -24 = -29 12x = -29 Divide each side by '12'. x = -2.416666667 Simplifying x = -2.416666667
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