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Simplifying 3x = (4x + -2)(m + 5) Reorder the terms: 3x = (-2 + 4x)(m + 5) Reorder the terms: 3x = (-2 + 4x)(5 + m) Multiply (-2 + 4x) * (5 + m) 3x = (-2(5 + m) + 4x * (5 + m)) 3x = ((5 * -2 + m * -2) + 4x * (5 + m)) 3x = ((-10 + -2m) + 4x * (5 + m)) 3x = (-10 + -2m + (5 * 4x + m * 4x)) Reorder the terms: 3x = (-10 + -2m + (4mx + 20x)) 3x = (-10 + -2m + (4mx + 20x)) 3x = (-10 + -2m + 4mx + 20x) Solving 3x = -10 + -2m + 4mx + 20x 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 = -10 + -2m + 4mx + -4mx + 20x Combine like terms: 4mx + -4mx = 0 -4mx + 3x = -10 + -2m + 0 + 20x -4mx + 3x = -10 + -2m + 20x Add '-20x' to each side of the equation. -4mx + 3x + -20x = -10 + -2m + 20x + -20x Combine like terms: 3x + -20x = -17x -4mx + -17x = -10 + -2m + 20x + -20x Combine like terms: 20x + -20x = 0 -4mx + -17x = -10 + -2m + 0 -4mx + -17x = -10 + -2m Reorder the terms: 10 + 2m + -4mx + -17x = -10 + -2m + 10 + 2m Reorder the terms: 10 + 2m + -4mx + -17x = -10 + 10 + -2m + 2m Combine like terms: -10 + 10 = 0 10 + 2m + -4mx + -17x = 0 + -2m + 2m 10 + 2m + -4mx + -17x = -2m + 2m Combine like terms: -2m + 2m = 0 10 + 2m + -4mx + -17x = 0 The solution to this equation could not be determined.
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