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Simplifying 10x + -35 + -3ax = 5ax + -7a Reorder the terms: -35 + -3ax + 10x = 5ax + -7a Reorder the terms: -35 + -3ax + 10x = -7a + 5ax Solving -35 + -3ax + 10x = -7a + 5ax Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7a' to each side of the equation. -35 + -3ax + 7a + 10x = -7a + 7a + 5ax Reorder the terms: -35 + 7a + -3ax + 10x = -7a + 7a + 5ax Combine like terms: -7a + 7a = 0 -35 + 7a + -3ax + 10x = 0 + 5ax -35 + 7a + -3ax + 10x = 5ax Add '-5ax' to each side of the equation. -35 + 7a + -3ax + -5ax + 10x = 5ax + -5ax Combine like terms: -3ax + -5ax = -8ax -35 + 7a + -8ax + 10x = 5ax + -5ax Combine like terms: 5ax + -5ax = 0 -35 + 7a + -8ax + 10x = 0 Add '35' to each side of the equation. -35 + 7a + -8ax + 35 + 10x = 0 + 35 Reorder the terms: -35 + 35 + 7a + -8ax + 10x = 0 + 35 Combine like terms: -35 + 35 = 0 0 + 7a + -8ax + 10x = 0 + 35 7a + -8ax + 10x = 0 + 35 Combine like terms: 0 + 35 = 35 7a + -8ax + 10x = 35 Add '-10x' to each side of the equation. 7a + -8ax + 10x + -10x = 35 + -10x Combine like terms: 10x + -10x = 0 7a + -8ax + 0 = 35 + -10x 7a + -8ax = 35 + -10x Reorder the terms: -35 + 7a + -8ax + 10x = 35 + -10x + -35 + 10x Reorder the terms: -35 + 7a + -8ax + 10x = 35 + -35 + -10x + 10x Combine like terms: 35 + -35 = 0 -35 + 7a + -8ax + 10x = 0 + -10x + 10x -35 + 7a + -8ax + 10x = -10x + 10x Combine like terms: -10x + 10x = 0 -35 + 7a + -8ax + 10x = 0 The solution to this equation could not be determined.
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