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Simplifying 5x = (4x + -3)(m + 3) Reorder the terms: 5x = (-3 + 4x)(m + 3) Reorder the terms: 5x = (-3 + 4x)(3 + m) Multiply (-3 + 4x) * (3 + m) 5x = (-3(3 + m) + 4x * (3 + m)) 5x = ((3 * -3 + m * -3) + 4x * (3 + m)) 5x = ((-9 + -3m) + 4x * (3 + m)) 5x = (-9 + -3m + (3 * 4x + m * 4x)) Reorder the terms: 5x = (-9 + -3m + (4mx + 12x)) 5x = (-9 + -3m + (4mx + 12x)) 5x = (-9 + -3m + 4mx + 12x) Solving 5x = -9 + -3m + 4mx + 12x 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 + 5x = -9 + -3m + 4mx + -4mx + 12x Combine like terms: 4mx + -4mx = 0 -4mx + 5x = -9 + -3m + 0 + 12x -4mx + 5x = -9 + -3m + 12x Add '-12x' to each side of the equation. -4mx + 5x + -12x = -9 + -3m + 12x + -12x Combine like terms: 5x + -12x = -7x -4mx + -7x = -9 + -3m + 12x + -12x Combine like terms: 12x + -12x = 0 -4mx + -7x = -9 + -3m + 0 -4mx + -7x = -9 + -3m Reorder the terms: 9 + 3m + -4mx + -7x = -9 + -3m + 9 + 3m Reorder the terms: 9 + 3m + -4mx + -7x = -9 + 9 + -3m + 3m Combine like terms: -9 + 9 = 0 9 + 3m + -4mx + -7x = 0 + -3m + 3m 9 + 3m + -4mx + -7x = -3m + 3m Combine like terms: -3m + 3m = 0 9 + 3m + -4mx + -7x = 0 The solution to this equation could not be determined.
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