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Simplifying 5x = (2x + -3)(m + 7) Reorder the terms: 5x = (-3 + 2x)(m + 7) Reorder the terms: 5x = (-3 + 2x)(7 + m) Multiply (-3 + 2x) * (7 + m) 5x = (-3(7 + m) + 2x * (7 + m)) 5x = ((7 * -3 + m * -3) + 2x * (7 + m)) 5x = ((-21 + -3m) + 2x * (7 + m)) 5x = (-21 + -3m + (7 * 2x + m * 2x)) Reorder the terms: 5x = (-21 + -3m + (2mx + 14x)) 5x = (-21 + -3m + (2mx + 14x)) 5x = (-21 + -3m + 2mx + 14x) Solving 5x = -21 + -3m + 2mx + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2mx' to each side of the equation. -2mx + 5x = -21 + -3m + 2mx + -2mx + 14x Combine like terms: 2mx + -2mx = 0 -2mx + 5x = -21 + -3m + 0 + 14x -2mx + 5x = -21 + -3m + 14x Add '-14x' to each side of the equation. -2mx + 5x + -14x = -21 + -3m + 14x + -14x Combine like terms: 5x + -14x = -9x -2mx + -9x = -21 + -3m + 14x + -14x Combine like terms: 14x + -14x = 0 -2mx + -9x = -21 + -3m + 0 -2mx + -9x = -21 + -3m Reorder the terms: 21 + 3m + -2mx + -9x = -21 + -3m + 21 + 3m Reorder the terms: 21 + 3m + -2mx + -9x = -21 + 21 + -3m + 3m Combine like terms: -21 + 21 = 0 21 + 3m + -2mx + -9x = 0 + -3m + 3m 21 + 3m + -2mx + -9x = -3m + 3m Combine like terms: -3m + 3m = 0 21 + 3m + -2mx + -9x = 0 The solution to this equation could not be determined.
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