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Simplifying 4(2 + -8x) + -3(-9x + 1) = 0 (2 * 4 + -8x * 4) + -3(-9x + 1) = 0 (8 + -32x) + -3(-9x + 1) = 0 Reorder the terms: 8 + -32x + -3(1 + -9x) = 0 8 + -32x + (1 * -3 + -9x * -3) = 0 8 + -32x + (-3 + 27x) = 0 Reorder the terms: 8 + -3 + -32x + 27x = 0 Combine like terms: 8 + -3 = 5 5 + -32x + 27x = 0 Combine like terms: -32x + 27x = -5x 5 + -5x = 0 Solving 5 + -5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -5x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -5x = 0 + -5 -5x = 0 + -5 Combine like terms: 0 + -5 = -5 -5x = -5 Divide each side by '-5'. x = 1 Simplifying x = 1
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