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Simplifying 3(2x + -6) = 2(3mx + -1n) Reorder the terms: 3(-6 + 2x) = 2(3mx + -1n) (-6 * 3 + 2x * 3) = 2(3mx + -1n) (-18 + 6x) = 2(3mx + -1n) -18 + 6x = (3mx * 2 + -1n * 2) -18 + 6x = (6mx + -2n) Solving -18 + 6x = 6mx + -2n Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6mx' to each side of the equation. -18 + -6mx + 6x = 6mx + -6mx + -2n Combine like terms: 6mx + -6mx = 0 -18 + -6mx + 6x = 0 + -2n -18 + -6mx + 6x = -2n Add '18' to each side of the equation. -18 + -6mx + 18 + 6x = 18 + -2n Reorder the terms: -18 + 18 + -6mx + 6x = 18 + -2n Combine like terms: -18 + 18 = 0 0 + -6mx + 6x = 18 + -2n -6mx + 6x = 18 + -2n Reorder the terms: -18 + -6mx + 2n + 6x = 18 + -2n + -18 + 2n Reorder the terms: -18 + -6mx + 2n + 6x = 18 + -18 + -2n + 2n Combine like terms: 18 + -18 = 0 -18 + -6mx + 2n + 6x = 0 + -2n + 2n -18 + -6mx + 2n + 6x = -2n + 2n Combine like terms: -2n + 2n = 0 -18 + -6mx + 2n + 6x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-9 + -3mx + n + 3x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-9 + -3mx + n + 3x)' equal to zero and attempt to solve: Simplifying -9 + -3mx + n + 3x = 0 Solving -9 + -3mx + n + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + -3mx + n + 9 + 3x = 0 + 9 Reorder the terms: -9 + 9 + -3mx + n + 3x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -3mx + n + 3x = 0 + 9 -3mx + n + 3x = 0 + 9 Combine like terms: 0 + 9 = 9 -3mx + n + 3x = 9 Add '-1n' to each side of the equation. -3mx + n + -1n + 3x = 9 + -1n Combine like terms: n + -1n = 0 -3mx + 0 + 3x = 9 + -1n -3mx + 3x = 9 + -1n 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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