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Simplifying 3 + 2x + -1(5 + -3x) = (2x + -1) + -8x + 9 3 + 2x + (5 * -1 + -3x * -1) = (2x + -1) + -8x + 9 3 + 2x + (-5 + 3x) = (2x + -1) + -8x + 9 Reorder the terms: 3 + -5 + 2x + 3x = (2x + -1) + -8x + 9 Combine like terms: 3 + -5 = -2 -2 + 2x + 3x = (2x + -1) + -8x + 9 Combine like terms: 2x + 3x = 5x -2 + 5x = (2x + -1) + -8x + 9 Reorder the terms: -2 + 5x = (-1 + 2x) + -8x + 9 Remove parenthesis around (-1 + 2x) -2 + 5x = -1 + 2x + -8x + 9 Reorder the terms: -2 + 5x = -1 + 9 + 2x + -8x Combine like terms: -1 + 9 = 8 -2 + 5x = 8 + 2x + -8x Combine like terms: 2x + -8x = -6x -2 + 5x = 8 + -6x Solving -2 + 5x = 8 + -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 = 8 + -6x + 6x Combine like terms: 5x + 6x = 11x -2 + 11x = 8 + -6x + 6x Combine like terms: -6x + 6x = 0 -2 + 11x = 8 + 0 -2 + 11x = 8 Add '2' to each side of the equation. -2 + 2 + 11x = 8 + 2 Combine like terms: -2 + 2 = 0 0 + 11x = 8 + 2 11x = 8 + 2 Combine like terms: 8 + 2 = 10 11x = 10 Divide each side by '11'. x = 0.9090909091 Simplifying x = 0.9090909091
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