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Simplifying 2x = (3x + -2)(m + 4) Reorder the terms: 2x = (-2 + 3x)(m + 4) Reorder the terms: 2x = (-2 + 3x)(4 + m) Multiply (-2 + 3x) * (4 + m) 2x = (-2(4 + m) + 3x * (4 + m)) 2x = ((4 * -2 + m * -2) + 3x * (4 + m)) 2x = ((-8 + -2m) + 3x * (4 + m)) 2x = (-8 + -2m + (4 * 3x + m * 3x)) Reorder the terms: 2x = (-8 + -2m + (3mx + 12x)) 2x = (-8 + -2m + (3mx + 12x)) 2x = (-8 + -2m + 3mx + 12x) Solving 2x = -8 + -2m + 3mx + 12x 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 + 2x = -8 + -2m + 3mx + -3mx + 12x Combine like terms: 3mx + -3mx = 0 -3mx + 2x = -8 + -2m + 0 + 12x -3mx + 2x = -8 + -2m + 12x Add '-12x' to each side of the equation. -3mx + 2x + -12x = -8 + -2m + 12x + -12x Combine like terms: 2x + -12x = -10x -3mx + -10x = -8 + -2m + 12x + -12x Combine like terms: 12x + -12x = 0 -3mx + -10x = -8 + -2m + 0 -3mx + -10x = -8 + -2m Reorder the terms: 8 + 2m + -3mx + -10x = -8 + -2m + 8 + 2m Reorder the terms: 8 + 2m + -3mx + -10x = -8 + 8 + -2m + 2m Combine like terms: -8 + 8 = 0 8 + 2m + -3mx + -10x = 0 + -2m + 2m 8 + 2m + -3mx + -10x = -2m + 2m Combine like terms: -2m + 2m = 0 8 + 2m + -3mx + -10x = 0 The solution to this equation could not be determined.
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