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Simplifying (6a + -1b) + -1bx = a(x + -4) Remove parenthesis around (6a + -1b) 6a + -1b + -1bx = a(x + -4) Reorder the terms: 6a + -1b + -1bx = a(-4 + x) 6a + -1b + -1bx = (-4 * a + x * a) 6a + -1b + -1bx = (-4a + ax) Solving 6a + -1b + -1bx = -4a + ax Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. 6a + -1b + 4a + -1bx = -4a + 4a + ax Reorder the terms: 6a + 4a + -1b + -1bx = -4a + 4a + ax Combine like terms: 6a + 4a = 10a 10a + -1b + -1bx = -4a + 4a + ax Combine like terms: -4a + 4a = 0 10a + -1b + -1bx = 0 + ax 10a + -1b + -1bx = ax Add '-1ax' to each side of the equation. 10a + -1b + -1ax + -1bx = ax + -1ax Reorder the terms: 10a + -1ax + -1b + -1bx = ax + -1ax Combine like terms: ax + -1ax = 0 10a + -1ax + -1b + -1bx = 0 Add 'b' to each side of the equation. 10a + -1ax + -1b + b + -1bx = 0 + b Combine like terms: -1b + b = 0 10a + -1ax + 0 + -1bx = 0 + b 10a + -1ax + -1bx = 0 + b Remove the zero: 10a + -1ax + -1bx = b Add 'bx' to each side of the equation. 10a + -1ax + -1bx + bx = b + bx Combine like terms: -1bx + bx = 0 10a + -1ax + 0 = b + bx 10a + -1ax = b + bx Reorder the terms: 10a + -1ax + -1b + -1bx = b + -1b + bx + -1bx Combine like terms: b + -1b = 0 10a + -1ax + -1b + -1bx = 0 + bx + -1bx 10a + -1ax + -1b + -1bx = bx + -1bx Combine like terms: bx + -1bx = 0 10a + -1ax + -1b + -1bx = 0 The solution to this equation could not be determined.
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