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Simplifying 4(5x + 1) + -2(3 + 4x) = 9 Reorder the terms: 4(1 + 5x) + -2(3 + 4x) = 9 (1 * 4 + 5x * 4) + -2(3 + 4x) = 9 (4 + 20x) + -2(3 + 4x) = 9 4 + 20x + (3 * -2 + 4x * -2) = 9 4 + 20x + (-6 + -8x) = 9 Reorder the terms: 4 + -6 + 20x + -8x = 9 Combine like terms: 4 + -6 = -2 -2 + 20x + -8x = 9 Combine like terms: 20x + -8x = 12x -2 + 12x = 9 Solving -2 + 12x = 9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 12x = 9 + 2 Combine like terms: -2 + 2 = 0 0 + 12x = 9 + 2 12x = 9 + 2 Combine like terms: 9 + 2 = 11 12x = 11 Divide each side by '12'. x = 0.9166666667 Simplifying x = 0.9166666667
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