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Simplifying 3x = (2x + -2)(m + 5) Reorder the terms: 3x = (-2 + 2x)(m + 5) Reorder the terms: 3x = (-2 + 2x)(5 + m) Multiply (-2 + 2x) * (5 + m) 3x = (-2(5 + m) + 2x * (5 + m)) 3x = ((5 * -2 + m * -2) + 2x * (5 + m)) 3x = ((-10 + -2m) + 2x * (5 + m)) 3x = (-10 + -2m + (5 * 2x + m * 2x)) Reorder the terms: 3x = (-10 + -2m + (2mx + 10x)) 3x = (-10 + -2m + (2mx + 10x)) 3x = (-10 + -2m + 2mx + 10x) Solving 3x = -10 + -2m + 2mx + 10x 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 + 3x = -10 + -2m + 2mx + -2mx + 10x Combine like terms: 2mx + -2mx = 0 -2mx + 3x = -10 + -2m + 0 + 10x -2mx + 3x = -10 + -2m + 10x Add '-10x' to each side of the equation. -2mx + 3x + -10x = -10 + -2m + 10x + -10x Combine like terms: 3x + -10x = -7x -2mx + -7x = -10 + -2m + 10x + -10x Combine like terms: 10x + -10x = 0 -2mx + -7x = -10 + -2m + 0 -2mx + -7x = -10 + -2m Reorder the terms: 10 + 2m + -2mx + -7x = -10 + -2m + 10 + 2m Reorder the terms: 10 + 2m + -2mx + -7x = -10 + 10 + -2m + 2m Combine like terms: -10 + 10 = 0 10 + 2m + -2mx + -7x = 0 + -2m + 2m 10 + 2m + -2mx + -7x = -2m + 2m Combine like terms: -2m + 2m = 0 10 + 2m + -2mx + -7x = 0 The solution to this equation could not be determined.
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