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Simplifying 3x = (2x + -2)(m + 6) Reorder the terms: 3x = (-2 + 2x)(m + 6) Reorder the terms: 3x = (-2 + 2x)(6 + m) Multiply (-2 + 2x) * (6 + m) 3x = (-2(6 + m) + 2x * (6 + m)) 3x = ((6 * -2 + m * -2) + 2x * (6 + m)) 3x = ((-12 + -2m) + 2x * (6 + m)) 3x = (-12 + -2m + (6 * 2x + m * 2x)) Reorder the terms: 3x = (-12 + -2m + (2mx + 12x)) 3x = (-12 + -2m + (2mx + 12x)) 3x = (-12 + -2m + 2mx + 12x) Solving 3x = -12 + -2m + 2mx + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2mx' to each side of the equation. -2mx + 3x = -12 + -2m + 2mx + -2mx + 12x Combine like terms: 2mx + -2mx = 0 -2mx + 3x = -12 + -2m + 0 + 12x -2mx + 3x = -12 + -2m + 12x Add '-12x' to each side of the equation. -2mx + 3x + -12x = -12 + -2m + 12x + -12x Combine like terms: 3x + -12x = -9x -2mx + -9x = -12 + -2m + 12x + -12x Combine like terms: 12x + -12x = 0 -2mx + -9x = -12 + -2m + 0 -2mx + -9x = -12 + -2m Reorder the terms: 12 + 2m + -2mx + -9x = -12 + -2m + 12 + 2m Reorder the terms: 12 + 2m + -2mx + -9x = -12 + 12 + -2m + 2m Combine like terms: -12 + 12 = 0 12 + 2m + -2mx + -9x = 0 + -2m + 2m 12 + 2m + -2mx + -9x = -2m + 2m Combine like terms: -2m + 2m = 0 12 + 2m + -2mx + -9x = 0 The solution to this equation could not be determined.
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