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Simplifying 4x + -1(1 + -1x) = 3[5 + -1(2 + 9x + -8)] 4x + (1 * -1 + -1x * -1) = 3[5 + -1(2 + 9x + -8)] 4x + (-1 + 1x) = 3[5 + -1(2 + 9x + -8)] Reorder the terms: -1 + 4x + 1x = 3[5 + -1(2 + 9x + -8)] Combine like terms: 4x + 1x = 5x -1 + 5x = 3[5 + -1(2 + 9x + -8)] Reorder the terms: -1 + 5x = 3[5 + -1(2 + -8 + 9x)] Combine like terms: 2 + -8 = -6 -1 + 5x = 3[5 + -1(-6 + 9x)] -1 + 5x = 3[5 + (-6 * -1 + 9x * -1)] -1 + 5x = 3[5 + (6 + -9x)] Combine like terms: 5 + 6 = 11 -1 + 5x = 3[11 + -9x] -1 + 5x = [11 * 3 + -9x * 3] -1 + 5x = [33 + -27x] Solving -1 + 5x = 33 + -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 + 5x + 27x = 33 + -27x + 27x Combine like terms: 5x + 27x = 32x -1 + 32x = 33 + -27x + 27x Combine like terms: -27x + 27x = 0 -1 + 32x = 33 + 0 -1 + 32x = 33 Add '1' to each side of the equation. -1 + 1 + 32x = 33 + 1 Combine like terms: -1 + 1 = 0 0 + 32x = 33 + 1 32x = 33 + 1 Combine like terms: 33 + 1 = 34 32x = 34 Divide each side by '32'. x = 1.0625 Simplifying x = 1.0625
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