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Simplifying 2(x + 4m + 7) = 0 Reorder the terms: 2(7 + 4m + x) = 0 (7 * 2 + 4m * 2 + x * 2) = 0 (14 + 8m + 2x) = 0 Solving 14 + 8m + 2x = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + 8m + -14 + 2x = 0 + -14 Reorder the terms: 14 + -14 + 8m + 2x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 8m + 2x = 0 + -14 8m + 2x = 0 + -14 Combine like terms: 0 + -14 = -14 8m + 2x = -14 Add '-2x' to each side of the equation. 8m + 2x + -2x = -14 + -2x Combine like terms: 2x + -2x = 0 8m + 0 = -14 + -2x 8m = -14 + -2x Divide each side by '8'. m = -1.75 + -0.25x Simplifying m = -1.75 + -0.25x
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