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Simplifying 2x = (3x + -2)(m + 5) Reorder the terms: 2x = (-2 + 3x)(m + 5) Reorder the terms: 2x = (-2 + 3x)(5 + m) Multiply (-2 + 3x) * (5 + m) 2x = (-2(5 + m) + 3x * (5 + m)) 2x = ((5 * -2 + m * -2) + 3x * (5 + m)) 2x = ((-10 + -2m) + 3x * (5 + m)) 2x = (-10 + -2m + (5 * 3x + m * 3x)) Reorder the terms: 2x = (-10 + -2m + (3mx + 15x)) 2x = (-10 + -2m + (3mx + 15x)) 2x = (-10 + -2m + 3mx + 15x) Solving 2x = -10 + -2m + 3mx + 15x 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 + 2x = -10 + -2m + 3mx + -3mx + 15x Combine like terms: 3mx + -3mx = 0 -3mx + 2x = -10 + -2m + 0 + 15x -3mx + 2x = -10 + -2m + 15x Add '-15x' to each side of the equation. -3mx + 2x + -15x = -10 + -2m + 15x + -15x Combine like terms: 2x + -15x = -13x -3mx + -13x = -10 + -2m + 15x + -15x Combine like terms: 15x + -15x = 0 -3mx + -13x = -10 + -2m + 0 -3mx + -13x = -10 + -2m Reorder the terms: 10 + 2m + -3mx + -13x = -10 + -2m + 10 + 2m Reorder the terms: 10 + 2m + -3mx + -13x = -10 + 10 + -2m + 2m Combine like terms: -10 + 10 = 0 10 + 2m + -3mx + -13x = 0 + -2m + 2m 10 + 2m + -3mx + -13x = -2m + 2m Combine like terms: -2m + 2m = 0 10 + 2m + -3mx + -13x = 0 The solution to this equation could not be determined.
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