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Simplifying 3x + 2m + x + 3m + 2 = 0 Reorder the terms: 2 + 2m + 3m + 3x + x = 0 Combine like terms: 2m + 3m = 5m 2 + 5m + 3x + x = 0 Combine like terms: 3x + x = 4x 2 + 5m + 4x = 0 Solving 2 + 5m + 4x = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 5m + -2 + 4x = 0 + -2 Reorder the terms: 2 + -2 + 5m + 4x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5m + 4x = 0 + -2 5m + 4x = 0 + -2 Combine like terms: 0 + -2 = -2 5m + 4x = -2 Add '-4x' to each side of the equation. 5m + 4x + -4x = -2 + -4x Combine like terms: 4x + -4x = 0 5m + 0 = -2 + -4x 5m = -2 + -4x Divide each side by '5'. m = -0.4 + -0.8x Simplifying m = -0.4 + -0.8x
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