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Simplifying 6(7x + 4) = -3x Reorder the terms: 6(4 + 7x) = -3x (4 * 6 + 7x * 6) = -3x (24 + 42x) = -3x Solving 24 + 42x = -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 24 + 42x + 3x = -3x + 3x Combine like terms: 42x + 3x = 45x 24 + 45x = -3x + 3x Combine like terms: -3x + 3x = 0 24 + 45x = 0 Add '-24' to each side of the equation. 24 + -24 + 45x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 45x = 0 + -24 45x = 0 + -24 Combine like terms: 0 + -24 = -24 45x = -24 Divide each side by '45'. x = -0.5333333333 Simplifying x = -0.5333333333
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