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Simplifying 3x + -4(5 + -2x) = 2x + -1(3x + -9) 3x + (5 * -4 + -2x * -4) = 2x + -1(3x + -9) 3x + (-20 + 8x) = 2x + -1(3x + -9) Reorder the terms: -20 + 3x + 8x = 2x + -1(3x + -9) Combine like terms: 3x + 8x = 11x -20 + 11x = 2x + -1(3x + -9) Reorder the terms: -20 + 11x = 2x + -1(-9 + 3x) -20 + 11x = 2x + (-9 * -1 + 3x * -1) -20 + 11x = 2x + (9 + -3x) Reorder the terms: -20 + 11x = 9 + 2x + -3x Combine like terms: 2x + -3x = -1x -20 + 11x = 9 + -1x Solving -20 + 11x = 9 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -20 + 11x + x = 9 + -1x + x Combine like terms: 11x + x = 12x -20 + 12x = 9 + -1x + x Combine like terms: -1x + x = 0 -20 + 12x = 9 + 0 -20 + 12x = 9 Add '20' to each side of the equation. -20 + 20 + 12x = 9 + 20 Combine like terms: -20 + 20 = 0 0 + 12x = 9 + 20 12x = 9 + 20 Combine like terms: 9 + 20 = 29 12x = 29 Divide each side by '12'. x = 2.416666667 Simplifying x = 2.416666667
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