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Simplifying 14 + -9(x + m) = 3(x + 9) + -10 Reorder the terms: 14 + -9(m + x) = 3(x + 9) + -10 14 + (m * -9 + x * -9) = 3(x + 9) + -10 14 + (-9m + -9x) = 3(x + 9) + -10 Reorder the terms: 14 + -9m + -9x = 3(9 + x) + -10 14 + -9m + -9x = (9 * 3 + x * 3) + -10 14 + -9m + -9x = (27 + 3x) + -10 Reorder the terms: 14 + -9m + -9x = 27 + -10 + 3x Combine like terms: 27 + -10 = 17 14 + -9m + -9x = 17 + 3x Solving 14 + -9m + -9x = 17 + 3x 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 + -9m + -14 + -9x = 17 + -14 + 3x Reorder the terms: 14 + -14 + -9m + -9x = 17 + -14 + 3x Combine like terms: 14 + -14 = 0 0 + -9m + -9x = 17 + -14 + 3x -9m + -9x = 17 + -14 + 3x Combine like terms: 17 + -14 = 3 -9m + -9x = 3 + 3x Add '9x' to each side of the equation. -9m + -9x + 9x = 3 + 3x + 9x Combine like terms: -9x + 9x = 0 -9m + 0 = 3 + 3x + 9x -9m = 3 + 3x + 9x Combine like terms: 3x + 9x = 12x -9m = 3 + 12x Divide each side by '-9'. m = -0.3333333333 + -1.333333333x Simplifying m = -0.3333333333 + -1.333333333x
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