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Simplifying (a + b) * x + (3a + 8b) = 1 Reorder the terms for easier multiplication: x(a + b) + (3a + 8b) = 1 (a * x + b * x) + (3a + 8b) = 1 (ax + bx) + (3a + 8b) = 1 Remove parenthesis around (3a + 8b) ax + bx + 3a + 8b = 1 Reorder the terms: 3a + ax + 8b + bx = 1 Solving 3a + ax + 8b + bx = 1 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8b' to each side of the equation. 3a + ax + 8b + -8b + bx = 1 + -8b Combine like terms: 8b + -8b = 0 3a + ax + 0 + bx = 1 + -8b 3a + ax + bx = 1 + -8b Add '-1bx' to each side of the equation. 3a + ax + bx + -1bx = 1 + -8b + -1bx Combine like terms: bx + -1bx = 0 3a + ax + 0 = 1 + -8b + -1bx 3a + ax = 1 + -8b + -1bx Reorder the terms: -1 + 3a + ax + 8b + bx = 1 + -8b + -1bx + -1 + 8b + bx Reorder the terms: -1 + 3a + ax + 8b + bx = 1 + -1 + -8b + 8b + -1bx + bx Combine like terms: 1 + -1 = 0 -1 + 3a + ax + 8b + bx = 0 + -8b + 8b + -1bx + bx -1 + 3a + ax + 8b + bx = -8b + 8b + -1bx + bx Combine like terms: -8b + 8b = 0 -1 + 3a + ax + 8b + bx = 0 + -1bx + bx -1 + 3a + ax + 8b + bx = -1bx + bx Combine like terms: -1bx + bx = 0 -1 + 3a + ax + 8b + bx = 0 The solution to this equation could not be determined.
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