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Simplifying 3x = (4x + -2)(m + 6) Reorder the terms: 3x = (-2 + 4x)(m + 6) Reorder the terms: 3x = (-2 + 4x)(6 + m) Multiply (-2 + 4x) * (6 + m) 3x = (-2(6 + m) + 4x * (6 + m)) 3x = ((6 * -2 + m * -2) + 4x * (6 + m)) 3x = ((-12 + -2m) + 4x * (6 + m)) 3x = (-12 + -2m + (6 * 4x + m * 4x)) Reorder the terms: 3x = (-12 + -2m + (4mx + 24x)) 3x = (-12 + -2m + (4mx + 24x)) 3x = (-12 + -2m + 4mx + 24x) Solving 3x = -12 + -2m + 4mx + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4mx' to each side of the equation. -4mx + 3x = -12 + -2m + 4mx + -4mx + 24x Combine like terms: 4mx + -4mx = 0 -4mx + 3x = -12 + -2m + 0 + 24x -4mx + 3x = -12 + -2m + 24x Add '-24x' to each side of the equation. -4mx + 3x + -24x = -12 + -2m + 24x + -24x Combine like terms: 3x + -24x = -21x -4mx + -21x = -12 + -2m + 24x + -24x Combine like terms: 24x + -24x = 0 -4mx + -21x = -12 + -2m + 0 -4mx + -21x = -12 + -2m Reorder the terms: 12 + 2m + -4mx + -21x = -12 + -2m + 12 + 2m Reorder the terms: 12 + 2m + -4mx + -21x = -12 + 12 + -2m + 2m Combine like terms: -12 + 12 = 0 12 + 2m + -4mx + -21x = 0 + -2m + 2m 12 + 2m + -4mx + -21x = -2m + 2m Combine like terms: -2m + 2m = 0 12 + 2m + -4mx + -21x = 0 The solution to this equation could not be determined.
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