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Simplifying 2x + -1(4 + -1x) = 4[5 + -1(4 + 9x + -1)] 2x + (4 * -1 + -1x * -1) = 4[5 + -1(4 + 9x + -1)] 2x + (-4 + 1x) = 4[5 + -1(4 + 9x + -1)] Reorder the terms: -4 + 2x + 1x = 4[5 + -1(4 + 9x + -1)] Combine like terms: 2x + 1x = 3x -4 + 3x = 4[5 + -1(4 + 9x + -1)] Reorder the terms: -4 + 3x = 4[5 + -1(4 + -1 + 9x)] Combine like terms: 4 + -1 = 3 -4 + 3x = 4[5 + -1(3 + 9x)] -4 + 3x = 4[5 + (3 * -1 + 9x * -1)] -4 + 3x = 4[5 + (-3 + -9x)] Combine like terms: 5 + -3 = 2 -4 + 3x = 4[2 + -9x] -4 + 3x = [2 * 4 + -9x * 4] -4 + 3x = [8 + -36x] Solving -4 + 3x = 8 + -36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36x' to each side of the equation. -4 + 3x + 36x = 8 + -36x + 36x Combine like terms: 3x + 36x = 39x -4 + 39x = 8 + -36x + 36x Combine like terms: -36x + 36x = 0 -4 + 39x = 8 + 0 -4 + 39x = 8 Add '4' to each side of the equation. -4 + 4 + 39x = 8 + 4 Combine like terms: -4 + 4 = 0 0 + 39x = 8 + 4 39x = 8 + 4 Combine like terms: 8 + 4 = 12 39x = 12 Divide each side by '39'. x = 0.3076923077 Simplifying x = 0.3076923077
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