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Simplifying 5x = (2x + -3)(m + 4) Reorder the terms: 5x = (-3 + 2x)(m + 4) Reorder the terms: 5x = (-3 + 2x)(4 + m) Multiply (-3 + 2x) * (4 + m) 5x = (-3(4 + m) + 2x * (4 + m)) 5x = ((4 * -3 + m * -3) + 2x * (4 + m)) 5x = ((-12 + -3m) + 2x * (4 + m)) 5x = (-12 + -3m + (4 * 2x + m * 2x)) Reorder the terms: 5x = (-12 + -3m + (2mx + 8x)) 5x = (-12 + -3m + (2mx + 8x)) 5x = (-12 + -3m + 2mx + 8x) Solving 5x = -12 + -3m + 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 + 5x = -12 + -3m + 2mx + -2mx + 8x Combine like terms: 2mx + -2mx = 0 -2mx + 5x = -12 + -3m + 0 + 8x -2mx + 5x = -12 + -3m + 8x Add '-8x' to each side of the equation. -2mx + 5x + -8x = -12 + -3m + 8x + -8x Combine like terms: 5x + -8x = -3x -2mx + -3x = -12 + -3m + 8x + -8x Combine like terms: 8x + -8x = 0 -2mx + -3x = -12 + -3m + 0 -2mx + -3x = -12 + -3m Reorder the terms: 12 + 3m + -2mx + -3x = -12 + -3m + 12 + 3m Reorder the terms: 12 + 3m + -2mx + -3x = -12 + 12 + -3m + 3m Combine like terms: -12 + 12 = 0 12 + 3m + -2mx + -3x = 0 + -3m + 3m 12 + 3m + -2mx + -3x = -3m + 3m Combine like terms: -3m + 3m = 0 12 + 3m + -2mx + -3x = 0 The solution to this equation could not be determined.
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