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Simplifying 7(x + 2) + -4m = 2(m + 10) Reorder the terms: 7(2 + x) + -4m = 2(m + 10) (2 * 7 + x * 7) + -4m = 2(m + 10) (14 + 7x) + -4m = 2(m + 10) Reorder the terms: 14 + -4m + 7x = 2(m + 10) Reorder the terms: 14 + -4m + 7x = 2(10 + m) 14 + -4m + 7x = (10 * 2 + m * 2) 14 + -4m + 7x = (20 + 2m) Solving 14 + -4m + 7x = 20 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. 14 + -4m + -2m + 7x = 20 + 2m + -2m Combine like terms: -4m + -2m = -6m 14 + -6m + 7x = 20 + 2m + -2m Combine like terms: 2m + -2m = 0 14 + -6m + 7x = 20 + 0 14 + -6m + 7x = 20 Add '-14' to each side of the equation. 14 + -6m + -14 + 7x = 20 + -14 Reorder the terms: 14 + -14 + -6m + 7x = 20 + -14 Combine like terms: 14 + -14 = 0 0 + -6m + 7x = 20 + -14 -6m + 7x = 20 + -14 Combine like terms: 20 + -14 = 6 -6m + 7x = 6 Add '-7x' to each side of the equation. -6m + 7x + -7x = 6 + -7x Combine like terms: 7x + -7x = 0 -6m + 0 = 6 + -7x -6m = 6 + -7x Divide each side by '-6'. m = -1 + 1.166666667x Simplifying m = -1 + 1.166666667x
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