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Simplifying 5(x + 2m + 3) = 0 Reorder the terms: 5(3 + 2m + x) = 0 (3 * 5 + 2m * 5 + x * 5) = 0 (15 + 10m + 5x) = 0 Solving 15 + 10m + 5x = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + 10m + -15 + 5x = 0 + -15 Reorder the terms: 15 + -15 + 10m + 5x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 10m + 5x = 0 + -15 10m + 5x = 0 + -15 Combine like terms: 0 + -15 = -15 10m + 5x = -15 Add '-5x' to each side of the equation. 10m + 5x + -5x = -15 + -5x Combine like terms: 5x + -5x = 0 10m + 0 = -15 + -5x 10m = -15 + -5x Divide each side by '10'. m = -1.5 + -0.5x Simplifying m = -1.5 + -0.5x
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