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Simplifying x + -1a + 7 = 4sqrt(x + -1) Reorder the terms: 7 + -1a + x = 4sqrt(x + -1) Reorder the terms: 7 + -1a + x = 4qrst(-1 + x) 7 + -1a + x = (-1 * 4qrst + x * 4qrst) 7 + -1a + x = (-4qrst + 4qrstx) Solving 7 + -1a + x = -4qrst + 4qrstx Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -1a + -7 + x = -4qrst + -7 + 4qrstx Reorder the terms: 7 + -7 + -1a + x = -4qrst + -7 + 4qrstx Combine like terms: 7 + -7 = 0 0 + -1a + x = -4qrst + -7 + 4qrstx -1a + x = -4qrst + -7 + 4qrstx Reorder the terms: -1a + x = -7 + -4qrst + 4qrstx Add '-1x' to each side of the equation. -1a + x + -1x = -7 + -4qrst + 4qrstx + -1x Combine like terms: x + -1x = 0 -1a + 0 = -7 + -4qrst + 4qrstx + -1x -1a = -7 + -4qrst + 4qrstx + -1x Divide each side by '-1'. a = 7 + 4qrst + -4qrstx + x Simplifying a = 7 + 4qrst + -4qrstx + x
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