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Simplifying 2(x + 4m + 5) = 0 Reorder the terms: 2(5 + 4m + x) = 0 (5 * 2 + 4m * 2 + x * 2) = 0 (10 + 8m + 2x) = 0 Solving 10 + 8m + 2x = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 8m + -10 + 2x = 0 + -10 Reorder the terms: 10 + -10 + 8m + 2x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 8m + 2x = 0 + -10 8m + 2x = 0 + -10 Combine like terms: 0 + -10 = -10 8m + 2x = -10 Add '-2x' to each side of the equation. 8m + 2x + -2x = -10 + -2x Combine like terms: 2x + -2x = 0 8m + 0 = -10 + -2x 8m = -10 + -2x Divide each side by '8'. m = -1.25 + -0.25x Simplifying m = -1.25 + -0.25x
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