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