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Simplifying 14 + -1(m + x) = 7(x + -1y) 14 + (m * -1 + x * -1) = 7(x + -1y) 14 + (-1m + -1x) = 7(x + -1y) 14 + -1m + -1x = (x * 7 + -1y * 7) 14 + -1m + -1x = (7x + -7y) Solving 14 + -1m + -1x = 7x + -7y 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 + -1m + -14 + -1x = 7x + -14 + -7y Reorder the terms: 14 + -14 + -1m + -1x = 7x + -14 + -7y Combine like terms: 14 + -14 = 0 0 + -1m + -1x = 7x + -14 + -7y -1m + -1x = 7x + -14 + -7y Reorder the terms: -1m + -1x = -14 + 7x + -7y Add 'x' to each side of the equation. -1m + -1x + x = -14 + 7x + x + -7y Combine like terms: -1x + x = 0 -1m + 0 = -14 + 7x + x + -7y -1m = -14 + 7x + x + -7y Combine like terms: 7x + x = 8x -1m = -14 + 8x + -7y Divide each side by '-1'. m = 14 + -8x + 7y Simplifying m = 14 + -8x + 7y
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