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Simplifying (-1a + -1b) * x = 3a + 3b Reorder the terms for easier multiplication: x(-1a + -1b) = 3a + 3b (-1a * x + -1b * x) = 3a + 3b (-1ax + -1bx) = 3a + 3b Solving -1ax + -1bx = 3a + 3b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -1ax + -3a + -1bx = 3a + -3a + 3b Reorder the terms: -3a + -1ax + -1bx = 3a + -3a + 3b Combine like terms: 3a + -3a = 0 -3a + -1ax + -1bx = 0 + 3b -3a + -1ax + -1bx = 3b Add 'bx' to each side of the equation. -3a + -1ax + -1bx + bx = 3b + bx Combine like terms: -1bx + bx = 0 -3a + -1ax + 0 = 3b + bx -3a + -1ax = 3b + bx Reorder the terms: -3a + -1ax + -3b + -1bx = 3b + -3b + bx + -1bx Combine like terms: 3b + -3b = 0 -3a + -1ax + -3b + -1bx = 0 + bx + -1bx -3a + -1ax + -3b + -1bx = bx + -1bx Combine like terms: bx + -1bx = 0 -3a + -1ax + -3b + -1bx = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(3a + ax + 3b + bx) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(3a + ax + 3b + bx)' equal to zero and attempt to solve: Simplifying 3a + ax + 3b + bx = 0 Solving 3a + ax + 3b + bx = 0 Move all terms containing a to the left, all other terms to the right. Add '-3b' to each side of the equation. 3a + ax + 3b + -3b + bx = 0 + -3b Combine like terms: 3b + -3b = 0 3a + ax + 0 + bx = 0 + -3b 3a + ax + bx = 0 + -3b Remove the zero: 3a + ax + bx = -3b Add '-1bx' to each side of the equation. 3a + ax + bx + -1bx = -3b + -1bx Combine like terms: bx + -1bx = 0 3a + ax + 0 = -3b + -1bx 3a + ax = -3b + -1bx The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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