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Simplifying 5x = (3x + -2)(m + 7) Reorder the terms: 5x = (-2 + 3x)(m + 7) Reorder the terms: 5x = (-2 + 3x)(7 + m) Multiply (-2 + 3x) * (7 + m) 5x = (-2(7 + m) + 3x * (7 + m)) 5x = ((7 * -2 + m * -2) + 3x * (7 + m)) 5x = ((-14 + -2m) + 3x * (7 + m)) 5x = (-14 + -2m + (7 * 3x + m * 3x)) Reorder the terms: 5x = (-14 + -2m + (3mx + 21x)) 5x = (-14 + -2m + (3mx + 21x)) 5x = (-14 + -2m + 3mx + 21x) Solving 5x = -14 + -2m + 3mx + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3mx' to each side of the equation. -3mx + 5x = -14 + -2m + 3mx + -3mx + 21x Combine like terms: 3mx + -3mx = 0 -3mx + 5x = -14 + -2m + 0 + 21x -3mx + 5x = -14 + -2m + 21x Add '-21x' to each side of the equation. -3mx + 5x + -21x = -14 + -2m + 21x + -21x Combine like terms: 5x + -21x = -16x -3mx + -16x = -14 + -2m + 21x + -21x Combine like terms: 21x + -21x = 0 -3mx + -16x = -14 + -2m + 0 -3mx + -16x = -14 + -2m Reorder the terms: 14 + 2m + -3mx + -16x = -14 + -2m + 14 + 2m Reorder the terms: 14 + 2m + -3mx + -16x = -14 + 14 + -2m + 2m Combine like terms: -14 + 14 = 0 14 + 2m + -3mx + -16x = 0 + -2m + 2m 14 + 2m + -3mx + -16x = -2m + 2m Combine like terms: -2m + 2m = 0 14 + 2m + -3mx + -16x = 0 The solution to this equation could not be determined.
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