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Simplifying 4(7x + 6) = 3(9x + 8) Reorder the terms: 4(6 + 7x) = 3(9x + 8) (6 * 4 + 7x * 4) = 3(9x + 8) (24 + 28x) = 3(9x + 8) Reorder the terms: 24 + 28x = 3(8 + 9x) 24 + 28x = (8 * 3 + 9x * 3) 24 + 28x = (24 + 27x) Add '-24' to each side of the equation. 24 + -24 + 28x = 24 + -24 + 27x Combine like terms: 24 + -24 = 0 0 + 28x = 24 + -24 + 27x 28x = 24 + -24 + 27x Combine like terms: 24 + -24 = 0 28x = 0 + 27x 28x = 27x Solving 28x = 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. 28x + -27x = 27x + -27x Combine like terms: 28x + -27x = 1x 1x = 27x + -27x Combine like terms: 27x + -27x = 0 1x = 0 Divide each side by '1'. x = 0 Simplifying x = 0
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