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Simplifying 5x = (2x + -2)(m + 7) Reorder the terms: 5x = (-2 + 2x)(m + 7) Reorder the terms: 5x = (-2 + 2x)(7 + m) Multiply (-2 + 2x) * (7 + m) 5x = (-2(7 + m) + 2x * (7 + m)) 5x = ((7 * -2 + m * -2) + 2x * (7 + m)) 5x = ((-14 + -2m) + 2x * (7 + m)) 5x = (-14 + -2m + (7 * 2x + m * 2x)) Reorder the terms: 5x = (-14 + -2m + (2mx + 14x)) 5x = (-14 + -2m + (2mx + 14x)) 5x = (-14 + -2m + 2mx + 14x) Solving 5x = -14 + -2m + 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 = -14 + -2m + 2mx + -2mx + 14x Combine like terms: 2mx + -2mx = 0 -2mx + 5x = -14 + -2m + 0 + 14x -2mx + 5x = -14 + -2m + 14x Add '-14x' to each side of the equation. -2mx + 5x + -14x = -14 + -2m + 14x + -14x Combine like terms: 5x + -14x = -9x -2mx + -9x = -14 + -2m + 14x + -14x Combine like terms: 14x + -14x = 0 -2mx + -9x = -14 + -2m + 0 -2mx + -9x = -14 + -2m Reorder the terms: 14 + 2m + -2mx + -9x = -14 + -2m + 14 + 2m Reorder the terms: 14 + 2m + -2mx + -9x = -14 + 14 + -2m + 2m Combine like terms: -14 + 14 = 0 14 + 2m + -2mx + -9x = 0 + -2m + 2m 14 + 2m + -2mx + -9x = -2m + 2m Combine like terms: -2m + 2m = 0 14 + 2m + -2mx + -9x = 0 The solution to this equation could not be determined.
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