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Simplifying 3(2m + -1) + (x + 3) * m = mx + 4 Reorder the terms: 3(-1 + 2m) + (x + 3) * m = mx + 4 (-1 * 3 + 2m * 3) + (x + 3) * m = mx + 4 (-3 + 6m) + (x + 3) * m = mx + 4 Reorder the terms: -3 + 6m + (3 + x) * m = mx + 4 Reorder the terms for easier multiplication: -3 + 6m + m(3 + x) = mx + 4 -3 + 6m + (3 * m + x * m) = mx + 4 -3 + 6m + (3m + mx) = mx + 4 Combine like terms: 6m + 3m = 9m -3 + 9m + mx = mx + 4 Reorder the terms: -3 + 9m + mx = 4 + mx Add '-1mx' to each side of the equation. -3 + 9m + mx + -1mx = 4 + mx + -1mx Combine like terms: mx + -1mx = 0 -3 + 9m + 0 = 4 + mx + -1mx -3 + 9m = 4 + mx + -1mx Combine like terms: mx + -1mx = 0 -3 + 9m = 4 + 0 -3 + 9m = 4 Solving -3 + 9m = 4 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 9m = 4 + 3 Combine like terms: -3 + 3 = 0 0 + 9m = 4 + 3 9m = 4 + 3 Combine like terms: 4 + 3 = 7 9m = 7 Divide each side by '9'. m = 0.7777777778 Simplifying m = 0.7777777778
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