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