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Simplifying 5 = (3x + -3)(m + 6) Reorder the terms: 5 = (-3 + 3x)(m + 6) Reorder the terms: 5 = (-3 + 3x)(6 + m) Multiply (-3 + 3x) * (6 + m) 5 = (-3(6 + m) + 3x * (6 + m)) 5 = ((6 * -3 + m * -3) + 3x * (6 + m)) 5 = ((-18 + -3m) + 3x * (6 + m)) 5 = (-18 + -3m + (6 * 3x + m * 3x)) Reorder the terms: 5 = (-18 + -3m + (3mx + 18x)) 5 = (-18 + -3m + (3mx + 18x)) 5 = (-18 + -3m + 3mx + 18x) Solving 5 = -18 + -3m + 3mx + 18x Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3m' to each side of the equation. 5 + 3m = -18 + -3m + 3mx + 3m + 18x Reorder the terms: 5 + 3m = -18 + -3m + 3m + 3mx + 18x Combine like terms: -3m + 3m = 0 5 + 3m = -18 + 0 + 3mx + 18x 5 + 3m = -18 + 3mx + 18x Add '-3mx' to each side of the equation. 5 + 3m + -3mx = -18 + 3mx + -3mx + 18x Combine like terms: 3mx + -3mx = 0 5 + 3m + -3mx = -18 + 0 + 18x 5 + 3m + -3mx = -18 + 18x Add '-5' to each side of the equation. 5 + 3m + -5 + -3mx = -18 + -5 + 18x Reorder the terms: 5 + -5 + 3m + -3mx = -18 + -5 + 18x Combine like terms: 5 + -5 = 0 0 + 3m + -3mx = -18 + -5 + 18x 3m + -3mx = -18 + -5 + 18x Combine like terms: -18 + -5 = -23 3m + -3mx = -23 + 18x Reorder the terms: 23 + 3m + -3mx + -18x = -23 + 18x + 23 + -18x Reorder the terms: 23 + 3m + -3mx + -18x = -23 + 23 + 18x + -18x Combine like terms: -23 + 23 = 0 23 + 3m + -3mx + -18x = 0 + 18x + -18x 23 + 3m + -3mx + -18x = 18x + -18x Combine like terms: 18x + -18x = 0 23 + 3m + -3mx + -18x = 0 The solution to this equation could not be determined.
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