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Simplifying 3(-1x + 2) + -1(6x + 4) = x + -2 + -21x Reorder the terms: 3(2 + -1x) + -1(6x + 4) = x + -2 + -21x (2 * 3 + -1x * 3) + -1(6x + 4) = x + -2 + -21x (6 + -3x) + -1(6x + 4) = x + -2 + -21x Reorder the terms: 6 + -3x + -1(4 + 6x) = x + -2 + -21x 6 + -3x + (4 * -1 + 6x * -1) = x + -2 + -21x 6 + -3x + (-4 + -6x) = x + -2 + -21x Reorder the terms: 6 + -4 + -3x + -6x = x + -2 + -21x Combine like terms: 6 + -4 = 2 2 + -3x + -6x = x + -2 + -21x Combine like terms: -3x + -6x = -9x 2 + -9x = x + -2 + -21x Reorder the terms: 2 + -9x = -2 + x + -21x Combine like terms: x + -21x = -20x 2 + -9x = -2 + -20x Solving 2 + -9x = -2 + -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. 2 + -9x + 20x = -2 + -20x + 20x Combine like terms: -9x + 20x = 11x 2 + 11x = -2 + -20x + 20x Combine like terms: -20x + 20x = 0 2 + 11x = -2 + 0 2 + 11x = -2 Add '-2' to each side of the equation. 2 + -2 + 11x = -2 + -2 Combine like terms: 2 + -2 = 0 0 + 11x = -2 + -2 11x = -2 + -2 Combine like terms: -2 + -2 = -4 11x = -4 Divide each side by '11'. x = -0.3636363636 Simplifying x = -0.3636363636
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