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Simplifying -2(4x + 1) + -1(3x + -1) = 5(3 + -1x) + -9 Reorder the terms: -2(1 + 4x) + -1(3x + -1) = 5(3 + -1x) + -9 (1 * -2 + 4x * -2) + -1(3x + -1) = 5(3 + -1x) + -9 (-2 + -8x) + -1(3x + -1) = 5(3 + -1x) + -9 Reorder the terms: -2 + -8x + -1(-1 + 3x) = 5(3 + -1x) + -9 -2 + -8x + (-1 * -1 + 3x * -1) = 5(3 + -1x) + -9 -2 + -8x + (1 + -3x) = 5(3 + -1x) + -9 Reorder the terms: -2 + 1 + -8x + -3x = 5(3 + -1x) + -9 Combine like terms: -2 + 1 = -1 -1 + -8x + -3x = 5(3 + -1x) + -9 Combine like terms: -8x + -3x = -11x -1 + -11x = 5(3 + -1x) + -9 -1 + -11x = (3 * 5 + -1x * 5) + -9 -1 + -11x = (15 + -5x) + -9 Reorder the terms: -1 + -11x = 15 + -9 + -5x Combine like terms: 15 + -9 = 6 -1 + -11x = 6 + -5x Solving -1 + -11x = 6 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -1 + -11x + 5x = 6 + -5x + 5x Combine like terms: -11x + 5x = -6x -1 + -6x = 6 + -5x + 5x Combine like terms: -5x + 5x = 0 -1 + -6x = 6 + 0 -1 + -6x = 6 Add '1' to each side of the equation. -1 + 1 + -6x = 6 + 1 Combine like terms: -1 + 1 = 0 0 + -6x = 6 + 1 -6x = 6 + 1 Combine like terms: 6 + 1 = 7 -6x = 7 Divide each side by '-6'. x = -1.166666667 Simplifying x = -1.166666667
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