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Simplifying 2(a + -4b) * x + 12 + -1a = 17 Reorder the terms for easier multiplication: 2x(a + -4b) + 12 + -1a = 17 (a * 2x + -4b * 2x) + 12 + -1a = 17 (2ax + -8bx) + 12 + -1a = 17 Reorder the terms: 12 + -1a + 2ax + -8bx = 17 Solving 12 + -1a + 2ax + -8bx = 17 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -1a + 2ax + -12 + -8bx = 17 + -12 Reorder the terms: 12 + -12 + -1a + 2ax + -8bx = 17 + -12 Combine like terms: 12 + -12 = 0 0 + -1a + 2ax + -8bx = 17 + -12 -1a + 2ax + -8bx = 17 + -12 Combine like terms: 17 + -12 = 5 -1a + 2ax + -8bx = 5 Add '8bx' to each side of the equation. -1a + 2ax + -8bx + 8bx = 5 + 8bx Combine like terms: -8bx + 8bx = 0 -1a + 2ax + 0 = 5 + 8bx -1a + 2ax = 5 + 8bx Reorder the terms: -5 + -1a + 2ax + -8bx = 5 + 8bx + -5 + -8bx Reorder the terms: -5 + -1a + 2ax + -8bx = 5 + -5 + 8bx + -8bx Combine like terms: 5 + -5 = 0 -5 + -1a + 2ax + -8bx = 0 + 8bx + -8bx -5 + -1a + 2ax + -8bx = 8bx + -8bx Combine like terms: 8bx + -8bx = 0 -5 + -1a + 2ax + -8bx = 0 The solution to this equation could not be determined.
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