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Simplifying 5(mx + 6) = -4(-5 + -2x) + 3x Reorder the terms: 5(6 + mx) = -4(-5 + -2x) + 3x (6 * 5 + mx * 5) = -4(-5 + -2x) + 3x (30 + 5mx) = -4(-5 + -2x) + 3x 30 + 5mx = (-5 * -4 + -2x * -4) + 3x 30 + 5mx = (20 + 8x) + 3x Combine like terms: 8x + 3x = 11x 30 + 5mx = 20 + 11x Solving 30 + 5mx = 20 + 11x Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 5mx = 20 + -30 + 11x Combine like terms: 30 + -30 = 0 0 + 5mx = 20 + -30 + 11x 5mx = 20 + -30 + 11x Combine like terms: 20 + -30 = -10 5mx = -10 + 11x Divide each side by '5x'. m = -2x-1 + 2.2 Simplifying m = -2x-1 + 2.2 Reorder the terms: m = 2.2 + -2x-1
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