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Simplifying -9x + 9a + 6 + -10a + x + 1 = 0 Reorder the terms: 6 + 1 + 9a + -10a + -9x + x = 0 Combine like terms: 6 + 1 = 7 7 + 9a + -10a + -9x + x = 0 Combine like terms: 9a + -10a = -1a 7 + -1a + -9x + x = 0 Combine like terms: -9x + x = -8x 7 + -1a + -8x = 0 Solving 7 + -1a + -8x = 0 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 + -8x = 0 + -7 Reorder the terms: 7 + -7 + -1a + -8x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1a + -8x = 0 + -7 -1a + -8x = 0 + -7 Combine like terms: 0 + -7 = -7 -1a + -8x = -7 Add '8x' to each side of the equation. -1a + -8x + 8x = -7 + 8x Combine like terms: -8x + 8x = 0 -1a + 0 = -7 + 8x -1a = -7 + 8x Divide each side by '-1'. a = 7 + -8x Simplifying a = 7 + -8x
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