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Simplifying 3 + 2x + -1(5 + -3x) = (2x + -1) + -1(8x + 9) 3 + 2x + (5 * -1 + -3x * -1) = (2x + -1) + -1(8x + 9) 3 + 2x + (-5 + 3x) = (2x + -1) + -1(8x + 9) Reorder the terms: 3 + -5 + 2x + 3x = (2x + -1) + -1(8x + 9) Combine like terms: 3 + -5 = -2 -2 + 2x + 3x = (2x + -1) + -1(8x + 9) Combine like terms: 2x + 3x = 5x -2 + 5x = (2x + -1) + -1(8x + 9) Reorder the terms: -2 + 5x = (-1 + 2x) + -1(8x + 9) Remove parenthesis around (-1 + 2x) -2 + 5x = -1 + 2x + -1(8x + 9) Reorder the terms: -2 + 5x = -1 + 2x + -1(9 + 8x) -2 + 5x = -1 + 2x + (9 * -1 + 8x * -1) -2 + 5x = -1 + 2x + (-9 + -8x) Reorder the terms: -2 + 5x = -1 + -9 + 2x + -8x Combine like terms: -1 + -9 = -10 -2 + 5x = -10 + 2x + -8x Combine like terms: 2x + -8x = -6x -2 + 5x = -10 + -6x Solving -2 + 5x = -10 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -2 + 5x + 6x = -10 + -6x + 6x Combine like terms: 5x + 6x = 11x -2 + 11x = -10 + -6x + 6x Combine like terms: -6x + 6x = 0 -2 + 11x = -10 + 0 -2 + 11x = -10 Add '2' to each side of the equation. -2 + 2 + 11x = -10 + 2 Combine like terms: -2 + 2 = 0 0 + 11x = -10 + 2 11x = -10 + 2 Combine like terms: -10 + 2 = -8 11x = -8 Divide each side by '11'. x = -0.7272727273 Simplifying x = -0.7272727273
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