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Simplifying x + -1a + 2 = 2ax + -3(a + x) + 2(a + -5) Reorder the terms: 2 + -1a + x = 2ax + -3(a + x) + 2(a + -5) 2 + -1a + x = 2ax + (a * -3 + x * -3) + 2(a + -5) 2 + -1a + x = 2ax + (-3a + -3x) + 2(a + -5) Reorder the terms: 2 + -1a + x = 2ax + -3a + -3x + 2(-5 + a) 2 + -1a + x = 2ax + -3a + -3x + (-5 * 2 + a * 2) 2 + -1a + x = 2ax + -3a + -3x + (-10 + 2a) Reorder the terms: 2 + -1a + x = -10 + -3a + 2a + 2ax + -3x Combine like terms: -3a + 2a = -1a 2 + -1a + x = -10 + -1a + 2ax + -3x Add 'a' to each side of the equation. 2 + -1a + a + x = -10 + -1a + 2ax + a + -3x Combine like terms: -1a + a = 0 2 + 0 + x = -10 + -1a + 2ax + a + -3x 2 + x = -10 + -1a + 2ax + a + -3x Reorder the terms: 2 + x = -10 + -1a + a + 2ax + -3x Combine like terms: -1a + a = 0 2 + x = -10 + 0 + 2ax + -3x 2 + x = -10 + 2ax + -3x Solving 2 + x = -10 + 2ax + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2ax' to each side of the equation. 2 + -2ax + x = -10 + 2ax + -2ax + -3x Combine like terms: 2ax + -2ax = 0 2 + -2ax + x = -10 + 0 + -3x 2 + -2ax + x = -10 + -3x Add '3x' to each side of the equation. 2 + -2ax + x + 3x = -10 + -3x + 3x Combine like terms: x + 3x = 4x 2 + -2ax + 4x = -10 + -3x + 3x Combine like terms: -3x + 3x = 0 2 + -2ax + 4x = -10 + 0 2 + -2ax + 4x = -10 Add '-2' to each side of the equation. 2 + -2ax + -2 + 4x = -10 + -2 Reorder the terms: 2 + -2 + -2ax + 4x = -10 + -2 Combine like terms: 2 + -2 = 0 0 + -2ax + 4x = -10 + -2 -2ax + 4x = -10 + -2 Combine like terms: -10 + -2 = -12 -2ax + 4x = -12 Reorder the terms: 12 + -2ax + 4x = -12 + 12 Combine like terms: -12 + 12 = 0 12 + -2ax + 4x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(6 + -1ax + 2x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(6 + -1ax + 2x)' equal to zero and attempt to solve: Simplifying 6 + -1ax + 2x = 0 Solving 6 + -1ax + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -1ax + -6 + 2x = 0 + -6 Reorder the terms: 6 + -6 + -1ax + 2x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1ax + 2x = 0 + -6 -1ax + 2x = 0 + -6 Combine like terms: 0 + -6 = -6 -1ax + 2x = -6 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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