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Simplifying 6(7x + 4) = 5(5x + -2) Reorder the terms: 6(4 + 7x) = 5(5x + -2) (4 * 6 + 7x * 6) = 5(5x + -2) (24 + 42x) = 5(5x + -2) Reorder the terms: 24 + 42x = 5(-2 + 5x) 24 + 42x = (-2 * 5 + 5x * 5) 24 + 42x = (-10 + 25x) Solving 24 + 42x = -10 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. 24 + 42x + -25x = -10 + 25x + -25x Combine like terms: 42x + -25x = 17x 24 + 17x = -10 + 25x + -25x Combine like terms: 25x + -25x = 0 24 + 17x = -10 + 0 24 + 17x = -10 Add '-24' to each side of the equation. 24 + -24 + 17x = -10 + -24 Combine like terms: 24 + -24 = 0 0 + 17x = -10 + -24 17x = -10 + -24 Combine like terms: -10 + -24 = -34 17x = -34 Divide each side by '17'. x = -2 Simplifying x = -2
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