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Simplifying 4(8x + -1) = 3(9x + 2) Reorder the terms: 4(-1 + 8x) = 3(9x + 2) (-1 * 4 + 8x * 4) = 3(9x + 2) (-4 + 32x) = 3(9x + 2) Reorder the terms: -4 + 32x = 3(2 + 9x) -4 + 32x = (2 * 3 + 9x * 3) -4 + 32x = (6 + 27x) Solving -4 + 32x = 6 + 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. -4 + 32x + -27x = 6 + 27x + -27x Combine like terms: 32x + -27x = 5x -4 + 5x = 6 + 27x + -27x Combine like terms: 27x + -27x = 0 -4 + 5x = 6 + 0 -4 + 5x = 6 Add '4' to each side of the equation. -4 + 4 + 5x = 6 + 4 Combine like terms: -4 + 4 = 0 0 + 5x = 6 + 4 5x = 6 + 4 Combine like terms: 6 + 4 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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