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Simplifying 5x + -1(3 + -1x) = 7[8 + -1(4 + 9x + -8)] 5x + (3 * -1 + -1x * -1) = 7[8 + -1(4 + 9x + -8)] 5x + (-3 + 1x) = 7[8 + -1(4 + 9x + -8)] Reorder the terms: -3 + 5x + 1x = 7[8 + -1(4 + 9x + -8)] Combine like terms: 5x + 1x = 6x -3 + 6x = 7[8 + -1(4 + 9x + -8)] Reorder the terms: -3 + 6x = 7[8 + -1(4 + -8 + 9x)] Combine like terms: 4 + -8 = -4 -3 + 6x = 7[8 + -1(-4 + 9x)] -3 + 6x = 7[8 + (-4 * -1 + 9x * -1)] -3 + 6x = 7[8 + (4 + -9x)] Combine like terms: 8 + 4 = 12 -3 + 6x = 7[12 + -9x] -3 + 6x = [12 * 7 + -9x * 7] -3 + 6x = [84 + -63x] Solving -3 + 6x = 84 + -63x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '63x' to each side of the equation. -3 + 6x + 63x = 84 + -63x + 63x Combine like terms: 6x + 63x = 69x -3 + 69x = 84 + -63x + 63x Combine like terms: -63x + 63x = 0 -3 + 69x = 84 + 0 -3 + 69x = 84 Add '3' to each side of the equation. -3 + 3 + 69x = 84 + 3 Combine like terms: -3 + 3 = 0 0 + 69x = 84 + 3 69x = 84 + 3 Combine like terms: 84 + 3 = 87 69x = 87 Divide each side by '69'. x = 1.260869565 Simplifying x = 1.260869565
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