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Simplifying 6(7x + 4) = 4(3x + -5) Reorder the terms: 6(4 + 7x) = 4(3x + -5) (4 * 6 + 7x * 6) = 4(3x + -5) (24 + 42x) = 4(3x + -5) Reorder the terms: 24 + 42x = 4(-5 + 3x) 24 + 42x = (-5 * 4 + 3x * 4) 24 + 42x = (-20 + 12x) Solving 24 + 42x = -20 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 24 + 42x + -12x = -20 + 12x + -12x Combine like terms: 42x + -12x = 30x 24 + 30x = -20 + 12x + -12x Combine like terms: 12x + -12x = 0 24 + 30x = -20 + 0 24 + 30x = -20 Add '-24' to each side of the equation. 24 + -24 + 30x = -20 + -24 Combine like terms: 24 + -24 = 0 0 + 30x = -20 + -24 30x = -20 + -24 Combine like terms: -20 + -24 = -44 30x = -44 Divide each side by '30'. x = -1.466666667 Simplifying x = -1.466666667
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