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Simplifying 3(mx + -12) + 14 = 11(x + -2) + 5x Reorder the terms: 3(-12 + mx) + 14 = 11(x + -2) + 5x (-12 * 3 + mx * 3) + 14 = 11(x + -2) + 5x (-36 + 3mx) + 14 = 11(x + -2) + 5x Reorder the terms: -36 + 14 + 3mx = 11(x + -2) + 5x Combine like terms: -36 + 14 = -22 -22 + 3mx = 11(x + -2) + 5x Reorder the terms: -22 + 3mx = 11(-2 + x) + 5x -22 + 3mx = (-2 * 11 + x * 11) + 5x -22 + 3mx = (-22 + 11x) + 5x Combine like terms: 11x + 5x = 16x -22 + 3mx = -22 + 16x Add '22' to each side of the equation. -22 + 22 + 3mx = -22 + 22 + 16x Combine like terms: -22 + 22 = 0 0 + 3mx = -22 + 22 + 16x 3mx = -22 + 22 + 16x Combine like terms: -22 + 22 = 0 3mx = 0 + 16x 3mx = 16x Solving 3mx = 16x Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Divide each side by '3x'. m = 5.333333333 Simplifying m = 5.333333333
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