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Simplifying 8x + -8 = a(2x + -2) Reorder the terms: -8 + 8x = a(2x + -2) Reorder the terms: -8 + 8x = a(-2 + 2x) -8 + 8x = (-2 * a + 2x * a) -8 + 8x = (-2a + 2ax) Solving -8 + 8x = -2a + 2ax 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. -8 + -2ax + 8x = -2a + 2ax + -2ax Combine like terms: 2ax + -2ax = 0 -8 + -2ax + 8x = -2a + 0 -8 + -2ax + 8x = -2a Add '8' to each side of the equation. -8 + -2ax + 8 + 8x = 8 + -2a Reorder the terms: -8 + 8 + -2ax + 8x = 8 + -2a Combine like terms: -8 + 8 = 0 0 + -2ax + 8x = 8 + -2a -2ax + 8x = 8 + -2a Reorder the terms: -8 + 2a + -2ax + 8x = 8 + -2a + -8 + 2a Reorder the terms: -8 + 2a + -2ax + 8x = 8 + -8 + -2a + 2a Combine like terms: 8 + -8 = 0 -8 + 2a + -2ax + 8x = 0 + -2a + 2a -8 + 2a + -2ax + 8x = -2a + 2a Combine like terms: -2a + 2a = 0 -8 + 2a + -2ax + 8x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-4 + a + -1ax + 4x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-4 + a + -1ax + 4x)' equal to zero and attempt to solve: Simplifying -4 + a + -1ax + 4x = 0 Solving -4 + a + -1ax + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + a + -1ax + 4 + 4x = 0 + 4 Reorder the terms: -4 + 4 + a + -1ax + 4x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + a + -1ax + 4x = 0 + 4 a + -1ax + 4x = 0 + 4 Combine like terms: 0 + 4 = 4 a + -1ax + 4x = 4 Add '-1a' to each side of the equation. a + -1ax + -1a + 4x = 4 + -1a Reorder the terms: a + -1a + -1ax + 4x = 4 + -1a Combine like terms: a + -1a = 0 0 + -1ax + 4x = 4 + -1a -1ax + 4x = 4 + -1a 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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