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Simplifying 5(m + 4) + 12 = 2(x + -3) + -1 Reorder the terms: 5(4 + m) + 12 = 2(x + -3) + -1 (4 * 5 + m * 5) + 12 = 2(x + -3) + -1 (20 + 5m) + 12 = 2(x + -3) + -1 Reorder the terms: 20 + 12 + 5m = 2(x + -3) + -1 Combine like terms: 20 + 12 = 32 32 + 5m = 2(x + -3) + -1 Reorder the terms: 32 + 5m = 2(-3 + x) + -1 32 + 5m = (-3 * 2 + x * 2) + -1 32 + 5m = (-6 + 2x) + -1 Reorder the terms: 32 + 5m = -6 + -1 + 2x Combine like terms: -6 + -1 = -7 32 + 5m = -7 + 2x Solving 32 + 5m = -7 + 2x Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 5m = -7 + -32 + 2x Combine like terms: 32 + -32 = 0 0 + 5m = -7 + -32 + 2x 5m = -7 + -32 + 2x Combine like terms: -7 + -32 = -39 5m = -39 + 2x Divide each side by '5'. m = -7.8 + 0.4x Simplifying m = -7.8 + 0.4x
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