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Simplifying (4x) * m + (5x + 1) + (5x + 3) * m = 102 Remove parenthesis around (4x) 4x * m + (5x + 1) + (5x + 3) * m = 102 Multiply x * m 4mx + (5x + 1) + (5x + 3) * m = 102 Reorder the terms: 4mx + (1 + 5x) + (5x + 3) * m = 102 Remove parenthesis around (1 + 5x) 4mx + 1 + 5x + (5x + 3) * m = 102 Reorder the terms: 4mx + 1 + 5x + (3 + 5x) * m = 102 Reorder the terms for easier multiplication: 4mx + 1 + 5x + m(3 + 5x) = 102 4mx + 1 + 5x + (3 * m + 5x * m) = 102 4mx + 1 + 5x + (3m + 5mx) = 102 Reorder the terms: 1 + 3m + 4mx + 5mx + 5x = 102 Combine like terms: 4mx + 5mx = 9mx 1 + 3m + 9mx + 5x = 102 Solving 1 + 3m + 9mx + 5x = 102 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 3m + 9mx + -1 + 5x = 102 + -1 Reorder the terms: 1 + -1 + 3m + 9mx + 5x = 102 + -1 Combine like terms: 1 + -1 = 0 0 + 3m + 9mx + 5x = 102 + -1 3m + 9mx + 5x = 102 + -1 Combine like terms: 102 + -1 = 101 3m + 9mx + 5x = 101 Add '-5x' to each side of the equation. 3m + 9mx + 5x + -5x = 101 + -5x Combine like terms: 5x + -5x = 0 3m + 9mx + 0 = 101 + -5x 3m + 9mx = 101 + -5x Reorder the terms: -101 + 3m + 9mx + 5x = 101 + -5x + -101 + 5x Reorder the terms: -101 + 3m + 9mx + 5x = 101 + -101 + -5x + 5x Combine like terms: 101 + -101 = 0 -101 + 3m + 9mx + 5x = 0 + -5x + 5x -101 + 3m + 9mx + 5x = -5x + 5x Combine like terms: -5x + 5x = 0 -101 + 3m + 9mx + 5x = 0 The solution to this equation could not be determined.
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