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Simplifying 12x + 4(m + -3) = 6(5 + -1m) Reorder the terms: 12x + 4(-3 + m) = 6(5 + -1m) 12x + (-3 * 4 + m * 4) = 6(5 + -1m) 12x + (-12 + 4m) = 6(5 + -1m) Reorder the terms: -12 + 4m + 12x = 6(5 + -1m) -12 + 4m + 12x = (5 * 6 + -1m * 6) -12 + 4m + 12x = (30 + -6m) Solving -12 + 4m + 12x = 30 + -6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '6m' to each side of the equation. -12 + 4m + 6m + 12x = 30 + -6m + 6m Combine like terms: 4m + 6m = 10m -12 + 10m + 12x = 30 + -6m + 6m Combine like terms: -6m + 6m = 0 -12 + 10m + 12x = 30 + 0 -12 + 10m + 12x = 30 Add '12' to each side of the equation. -12 + 10m + 12 + 12x = 30 + 12 Reorder the terms: -12 + 12 + 10m + 12x = 30 + 12 Combine like terms: -12 + 12 = 0 0 + 10m + 12x = 30 + 12 10m + 12x = 30 + 12 Combine like terms: 30 + 12 = 42 10m + 12x = 42 Add '-12x' to each side of the equation. 10m + 12x + -12x = 42 + -12x Combine like terms: 12x + -12x = 0 10m + 0 = 42 + -12x 10m = 42 + -12x Divide each side by '10'. m = 4.2 + -1.2x Simplifying m = 4.2 + -1.2x
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