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Simplifying 8x + -1(7m + 5) = -8 + -2(x + 12) Reorder the terms: 8x + -1(5 + 7m) = -8 + -2(x + 12) 8x + (5 * -1 + 7m * -1) = -8 + -2(x + 12) 8x + (-5 + -7m) = -8 + -2(x + 12) Reorder the terms: -5 + -7m + 8x = -8 + -2(x + 12) Reorder the terms: -5 + -7m + 8x = -8 + -2(12 + x) -5 + -7m + 8x = -8 + (12 * -2 + x * -2) -5 + -7m + 8x = -8 + (-24 + -2x) Combine like terms: -8 + -24 = -32 -5 + -7m + 8x = -32 + -2x Solving -5 + -7m + 8x = -32 + -2x Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '5' to each side of the equation. -5 + -7m + 5 + 8x = -32 + 5 + -2x Reorder the terms: -5 + 5 + -7m + 8x = -32 + 5 + -2x Combine like terms: -5 + 5 = 0 0 + -7m + 8x = -32 + 5 + -2x -7m + 8x = -32 + 5 + -2x Combine like terms: -32 + 5 = -27 -7m + 8x = -27 + -2x Add '-8x' to each side of the equation. -7m + 8x + -8x = -27 + -2x + -8x Combine like terms: 8x + -8x = 0 -7m + 0 = -27 + -2x + -8x -7m = -27 + -2x + -8x Combine like terms: -2x + -8x = -10x -7m = -27 + -10x Divide each side by '-7'. m = 3.857142857 + 1.428571429x Simplifying m = 3.857142857 + 1.428571429x
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