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Simplifying 5x = (3x + -3)(m + -7) Reorder the terms: 5x = (-3 + 3x)(m + -7) Reorder the terms: 5x = (-3 + 3x)(-7 + m) Multiply (-3 + 3x) * (-7 + m) 5x = (-3(-7 + m) + 3x * (-7 + m)) 5x = ((-7 * -3 + m * -3) + 3x * (-7 + m)) 5x = ((21 + -3m) + 3x * (-7 + m)) 5x = (21 + -3m + (-7 * 3x + m * 3x)) Reorder the terms: 5x = (21 + -3m + (3mx + -21x)) 5x = (21 + -3m + (3mx + -21x)) 5x = (21 + -3m + 3mx + -21x) Solving 5x = 21 + -3m + 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 = 21 + -3m + 3mx + -3mx + -21x Combine like terms: 3mx + -3mx = 0 -3mx + 5x = 21 + -3m + 0 + -21x -3mx + 5x = 21 + -3m + -21x Add '21x' to each side of the equation. -3mx + 5x + 21x = 21 + -3m + -21x + 21x Combine like terms: 5x + 21x = 26x -3mx + 26x = 21 + -3m + -21x + 21x Combine like terms: -21x + 21x = 0 -3mx + 26x = 21 + -3m + 0 -3mx + 26x = 21 + -3m Reorder the terms: -21 + 3m + -3mx + 26x = 21 + -3m + -21 + 3m Reorder the terms: -21 + 3m + -3mx + 26x = 21 + -21 + -3m + 3m Combine like terms: 21 + -21 = 0 -21 + 3m + -3mx + 26x = 0 + -3m + 3m -21 + 3m + -3mx + 26x = -3m + 3m Combine like terms: -3m + 3m = 0 -21 + 3m + -3mx + 26x = 0 The solution to this equation could not be determined.
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