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Simplifying 3x + -1(7x + 2) = x + -2(6x + 5) + (-2 + -9x) Reorder the terms: 3x + -1(2 + 7x) = x + -2(6x + 5) + (-2 + -9x) 3x + (2 * -1 + 7x * -1) = x + -2(6x + 5) + (-2 + -9x) 3x + (-2 + -7x) = x + -2(6x + 5) + (-2 + -9x) Reorder the terms: -2 + 3x + -7x = x + -2(6x + 5) + (-2 + -9x) Combine like terms: 3x + -7x = -4x -2 + -4x = x + -2(6x + 5) + (-2 + -9x) Reorder the terms: -2 + -4x = x + -2(5 + 6x) + (-2 + -9x) -2 + -4x = x + (5 * -2 + 6x * -2) + (-2 + -9x) -2 + -4x = x + (-10 + -12x) + (-2 + -9x) Remove parenthesis around (-2 + -9x) -2 + -4x = x + -10 + -12x + -2 + -9x Reorder the terms: -2 + -4x = -10 + -2 + x + -12x + -9x Combine like terms: -10 + -2 = -12 -2 + -4x = -12 + x + -12x + -9x Combine like terms: x + -12x = -11x -2 + -4x = -12 + -11x + -9x Combine like terms: -11x + -9x = -20x -2 + -4x = -12 + -20x Solving -2 + -4x = -12 + -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 + -4x + 20x = -12 + -20x + 20x Combine like terms: -4x + 20x = 16x -2 + 16x = -12 + -20x + 20x Combine like terms: -20x + 20x = 0 -2 + 16x = -12 + 0 -2 + 16x = -12 Add '2' to each side of the equation. -2 + 2 + 16x = -12 + 2 Combine like terms: -2 + 2 = 0 0 + 16x = -12 + 2 16x = -12 + 2 Combine like terms: -12 + 2 = -10 16x = -10 Divide each side by '16'. x = -0.625 Simplifying x = -0.625
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