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Simplifying 3(x + 2m) = 4(3m + 12) Reorder the terms: 3(2m + x) = 4(3m + 12) (2m * 3 + x * 3) = 4(3m + 12) (6m + 3x) = 4(3m + 12) Reorder the terms: 6m + 3x = 4(12 + 3m) 6m + 3x = (12 * 4 + 3m * 4) 6m + 3x = (48 + 12m) Solving 6m + 3x = 48 + 12m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-12m' to each side of the equation. 6m + -12m + 3x = 48 + 12m + -12m Combine like terms: 6m + -12m = -6m -6m + 3x = 48 + 12m + -12m Combine like terms: 12m + -12m = 0 -6m + 3x = 48 + 0 -6m + 3x = 48 Add '-3x' to each side of the equation. -6m + 3x + -3x = 48 + -3x Combine like terms: 3x + -3x = 0 -6m + 0 = 48 + -3x -6m = 48 + -3x Divide each side by '-6'. m = -8 + 0.5x Simplifying m = -8 + 0.5x
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