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Simplifying 5x = (3x + -2)(m + 6) Reorder the terms: 5x = (-2 + 3x)(m + 6) Reorder the terms: 5x = (-2 + 3x)(6 + m) Multiply (-2 + 3x) * (6 + m) 5x = (-2(6 + m) + 3x * (6 + m)) 5x = ((6 * -2 + m * -2) + 3x * (6 + m)) 5x = ((-12 + -2m) + 3x * (6 + m)) 5x = (-12 + -2m + (6 * 3x + m * 3x)) Reorder the terms: 5x = (-12 + -2m + (3mx + 18x)) 5x = (-12 + -2m + (3mx + 18x)) 5x = (-12 + -2m + 3mx + 18x) Solving 5x = -12 + -2m + 3mx + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3mx' to each side of the equation. -3mx + 5x = -12 + -2m + 3mx + -3mx + 18x Combine like terms: 3mx + -3mx = 0 -3mx + 5x = -12 + -2m + 0 + 18x -3mx + 5x = -12 + -2m + 18x Add '-18x' to each side of the equation. -3mx + 5x + -18x = -12 + -2m + 18x + -18x Combine like terms: 5x + -18x = -13x -3mx + -13x = -12 + -2m + 18x + -18x Combine like terms: 18x + -18x = 0 -3mx + -13x = -12 + -2m + 0 -3mx + -13x = -12 + -2m Reorder the terms: 12 + 2m + -3mx + -13x = -12 + -2m + 12 + 2m Reorder the terms: 12 + 2m + -3mx + -13x = -12 + 12 + -2m + 2m Combine like terms: -12 + 12 = 0 12 + 2m + -3mx + -13x = 0 + -2m + 2m 12 + 2m + -3mx + -13x = -2m + 2m Combine like terms: -2m + 2m = 0 12 + 2m + -3mx + -13x = 0 The solution to this equation could not be determined.
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