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Simplifying 5x = (2x + -3)(m + 6) Reorder the terms: 5x = (-3 + 2x)(m + 6) Reorder the terms: 5x = (-3 + 2x)(6 + m) Multiply (-3 + 2x) * (6 + m) 5x = (-3(6 + m) + 2x * (6 + m)) 5x = ((6 * -3 + m * -3) + 2x * (6 + m)) 5x = ((-18 + -3m) + 2x * (6 + m)) 5x = (-18 + -3m + (6 * 2x + m * 2x)) Reorder the terms: 5x = (-18 + -3m + (2mx + 12x)) 5x = (-18 + -3m + (2mx + 12x)) 5x = (-18 + -3m + 2mx + 12x) Solving 5x = -18 + -3m + 2mx + 12x 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 = -18 + -3m + 2mx + -2mx + 12x Combine like terms: 2mx + -2mx = 0 -2mx + 5x = -18 + -3m + 0 + 12x -2mx + 5x = -18 + -3m + 12x Add '-12x' to each side of the equation. -2mx + 5x + -12x = -18 + -3m + 12x + -12x Combine like terms: 5x + -12x = -7x -2mx + -7x = -18 + -3m + 12x + -12x Combine like terms: 12x + -12x = 0 -2mx + -7x = -18 + -3m + 0 -2mx + -7x = -18 + -3m Reorder the terms: 18 + 3m + -2mx + -7x = -18 + -3m + 18 + 3m Reorder the terms: 18 + 3m + -2mx + -7x = -18 + 18 + -3m + 3m Combine like terms: -18 + 18 = 0 18 + 3m + -2mx + -7x = 0 + -3m + 3m 18 + 3m + -2mx + -7x = -3m + 3m Combine like terms: -3m + 3m = 0 18 + 3m + -2mx + -7x = 0 The solution to this equation could not be determined.
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