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Simplifying 4(8x + -2) = 3(9x + 9) Reorder the terms: 4(-2 + 8x) = 3(9x + 9) (-2 * 4 + 8x * 4) = 3(9x + 9) (-8 + 32x) = 3(9x + 9) Reorder the terms: -8 + 32x = 3(9 + 9x) -8 + 32x = (9 * 3 + 9x * 3) -8 + 32x = (27 + 27x) Solving -8 + 32x = 27 + 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. -8 + 32x + -27x = 27 + 27x + -27x Combine like terms: 32x + -27x = 5x -8 + 5x = 27 + 27x + -27x Combine like terms: 27x + -27x = 0 -8 + 5x = 27 + 0 -8 + 5x = 27 Add '8' to each side of the equation. -8 + 8 + 5x = 27 + 8 Combine like terms: -8 + 8 = 0 0 + 5x = 27 + 8 5x = 27 + 8 Combine like terms: 27 + 8 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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