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Simplifying 3(m + 2) + 4(x + 3) = 0 Reorder the terms: 3(2 + m) + 4(x + 3) = 0 (2 * 3 + m * 3) + 4(x + 3) = 0 (6 + 3m) + 4(x + 3) = 0 Reorder the terms: 6 + 3m + 4(3 + x) = 0 6 + 3m + (3 * 4 + x * 4) = 0 6 + 3m + (12 + 4x) = 0 Reorder the terms: 6 + 12 + 3m + 4x = 0 Combine like terms: 6 + 12 = 18 18 + 3m + 4x = 0 Solving 18 + 3m + 4x = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + 3m + -18 + 4x = 0 + -18 Reorder the terms: 18 + -18 + 3m + 4x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 3m + 4x = 0 + -18 3m + 4x = 0 + -18 Combine like terms: 0 + -18 = -18 3m + 4x = -18 Add '-4x' to each side of the equation. 3m + 4x + -4x = -18 + -4x Combine like terms: 4x + -4x = 0 3m + 0 = -18 + -4x 3m = -18 + -4x Divide each side by '3'. m = -6 + -1.333333333x Simplifying m = -6 + -1.333333333x
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