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Simplifying 3x = (4x + -3)(m + 2) Reorder the terms: 3x = (-3 + 4x)(m + 2) Reorder the terms: 3x = (-3 + 4x)(2 + m) Multiply (-3 + 4x) * (2 + m) 3x = (-3(2 + m) + 4x * (2 + m)) 3x = ((2 * -3 + m * -3) + 4x * (2 + m)) 3x = ((-6 + -3m) + 4x * (2 + m)) 3x = (-6 + -3m + (2 * 4x + m * 4x)) Reorder the terms: 3x = (-6 + -3m + (4mx + 8x)) 3x = (-6 + -3m + (4mx + 8x)) 3x = (-6 + -3m + 4mx + 8x) Solving 3x = -6 + -3m + 4mx + 8x 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 = -6 + -3m + 4mx + -4mx + 8x Combine like terms: 4mx + -4mx = 0 -4mx + 3x = -6 + -3m + 0 + 8x -4mx + 3x = -6 + -3m + 8x Add '-8x' to each side of the equation. -4mx + 3x + -8x = -6 + -3m + 8x + -8x Combine like terms: 3x + -8x = -5x -4mx + -5x = -6 + -3m + 8x + -8x Combine like terms: 8x + -8x = 0 -4mx + -5x = -6 + -3m + 0 -4mx + -5x = -6 + -3m Reorder the terms: 6 + 3m + -4mx + -5x = -6 + -3m + 6 + 3m Reorder the terms: 6 + 3m + -4mx + -5x = -6 + 6 + -3m + 3m Combine like terms: -6 + 6 = 0 6 + 3m + -4mx + -5x = 0 + -3m + 3m 6 + 3m + -4mx + -5x = -3m + 3m Combine like terms: -3m + 3m = 0 6 + 3m + -4mx + -5x = 0 The solution to this equation could not be determined.
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