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Simplifying 5x + -1(1 + -1x) = 3[9 + -1(6 + 9x + -6)] 5x + (1 * -1 + -1x * -1) = 3[9 + -1(6 + 9x + -6)] 5x + (-1 + 1x) = 3[9 + -1(6 + 9x + -6)] Reorder the terms: -1 + 5x + 1x = 3[9 + -1(6 + 9x + -6)] Combine like terms: 5x + 1x = 6x -1 + 6x = 3[9 + -1(6 + 9x + -6)] Reorder the terms: -1 + 6x = 3[9 + -1(6 + -6 + 9x)] Combine like terms: 6 + -6 = 0 -1 + 6x = 3[9 + -1(0 + 9x)] -1 + 6x = 3[9 + -1(9x)] Remove parenthesis around (9x) -1 + 6x = 3[9 + -1 * 9x] Multiply -1 * 9 -1 + 6x = 3[9 + -9x] -1 + 6x = [9 * 3 + -9x * 3] -1 + 6x = [27 + -27x] Solving -1 + 6x = 27 + -27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27x' to each side of the equation. -1 + 6x + 27x = 27 + -27x + 27x Combine like terms: 6x + 27x = 33x -1 + 33x = 27 + -27x + 27x Combine like terms: -27x + 27x = 0 -1 + 33x = 27 + 0 -1 + 33x = 27 Add '1' to each side of the equation. -1 + 1 + 33x = 27 + 1 Combine like terms: -1 + 1 = 0 0 + 33x = 27 + 1 33x = 27 + 1 Combine like terms: 27 + 1 = 28 33x = 28 Divide each side by '33'. x = 0.8484848485 Simplifying x = 0.8484848485
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