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Simplifying (m + 6)(4x + -3) = 3x Reorder the terms: (6 + m)(4x + -3) = 3x Reorder the terms: (6 + m)(-3 + 4x) = 3x Multiply (6 + m) * (-3 + 4x) (6(-3 + 4x) + m(-3 + 4x)) = 3x ((-3 * 6 + 4x * 6) + m(-3 + 4x)) = 3x ((-18 + 24x) + m(-3 + 4x)) = 3x (-18 + 24x + (-3 * m + 4x * m)) = 3x (-18 + 24x + (-3m + 4mx)) = 3x Reorder the terms: (-18 + -3m + 4mx + 24x) = 3x (-18 + -3m + 4mx + 24x) = 3x Solving -18 + -3m + 4mx + 24x = 3x Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '18' to each side of the equation. -18 + -3m + 4mx + 18 + 24x = 18 + 3x Reorder the terms: -18 + 18 + -3m + 4mx + 24x = 18 + 3x Combine like terms: -18 + 18 = 0 0 + -3m + 4mx + 24x = 18 + 3x -3m + 4mx + 24x = 18 + 3x Add '-24x' to each side of the equation. -3m + 4mx + 24x + -24x = 18 + 3x + -24x Combine like terms: 24x + -24x = 0 -3m + 4mx + 0 = 18 + 3x + -24x -3m + 4mx = 18 + 3x + -24x Combine like terms: 3x + -24x = -21x -3m + 4mx = 18 + -21x Reorder the terms: -18 + -3m + 4mx + 21x = 18 + -21x + -18 + 21x Reorder the terms: -18 + -3m + 4mx + 21x = 18 + -18 + -21x + 21x Combine like terms: 18 + -18 = 0 -18 + -3m + 4mx + 21x = 0 + -21x + 21x -18 + -3m + 4mx + 21x = -21x + 21x Combine like terms: -21x + 21x = 0 -18 + -3m + 4mx + 21x = 0 The solution to this equation could not be determined.
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