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Simplifying 3x = (2x + -1)(m + 4) Reorder the terms: 3x = (-1 + 2x)(m + 4) Reorder the terms: 3x = (-1 + 2x)(4 + m) Multiply (-1 + 2x) * (4 + m) 3x = (-1(4 + m) + 2x * (4 + m)) 3x = ((4 * -1 + m * -1) + 2x * (4 + m)) 3x = ((-4 + -1m) + 2x * (4 + m)) 3x = (-4 + -1m + (4 * 2x + m * 2x)) Reorder the terms: 3x = (-4 + -1m + (2mx + 8x)) 3x = (-4 + -1m + (2mx + 8x)) 3x = (-4 + -1m + 2mx + 8x) Solving 3x = -4 + -1m + 2mx + 8x 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 = -4 + -1m + 2mx + -2mx + 8x Combine like terms: 2mx + -2mx = 0 -2mx + 3x = -4 + -1m + 0 + 8x -2mx + 3x = -4 + -1m + 8x Add '-8x' to each side of the equation. -2mx + 3x + -8x = -4 + -1m + 8x + -8x Combine like terms: 3x + -8x = -5x -2mx + -5x = -4 + -1m + 8x + -8x Combine like terms: 8x + -8x = 0 -2mx + -5x = -4 + -1m + 0 -2mx + -5x = -4 + -1m Reorder the terms: 4 + m + -2mx + -5x = -4 + -1m + 4 + m Reorder the terms: 4 + m + -2mx + -5x = -4 + 4 + -1m + m Combine like terms: -4 + 4 = 0 4 + m + -2mx + -5x = 0 + -1m + m 4 + m + -2mx + -5x = -1m + m Combine like terms: -1m + m = 0 4 + m + -2mx + -5x = 0 The solution to this equation could not be determined.
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