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Simplifying 6 + -3(1 + -3x) = 4(2 + -5x) 6 + (1 * -3 + -3x * -3) = 4(2 + -5x) 6 + (-3 + 9x) = 4(2 + -5x) Combine like terms: 6 + -3 = 3 3 + 9x = 4(2 + -5x) 3 + 9x = (2 * 4 + -5x * 4) 3 + 9x = (8 + -20x) Solving 3 + 9x = 8 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. 3 + 9x + 20x = 8 + -20x + 20x Combine like terms: 9x + 20x = 29x 3 + 29x = 8 + -20x + 20x Combine like terms: -20x + 20x = 0 3 + 29x = 8 + 0 3 + 29x = 8 Add '-3' to each side of the equation. 3 + -3 + 29x = 8 + -3 Combine like terms: 3 + -3 = 0 0 + 29x = 8 + -3 29x = 8 + -3 Combine like terms: 8 + -3 = 5 29x = 5 Divide each side by '29'. x = 0.1724137931 Simplifying x = 0.1724137931
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