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Simplifying 4(x + 8) + 2(5x + -3) + 5 = -12 Reorder the terms: 4(8 + x) + 2(5x + -3) + 5 = -12 (8 * 4 + x * 4) + 2(5x + -3) + 5 = -12 (32 + 4x) + 2(5x + -3) + 5 = -12 Reorder the terms: 32 + 4x + 2(-3 + 5x) + 5 = -12 32 + 4x + (-3 * 2 + 5x * 2) + 5 = -12 32 + 4x + (-6 + 10x) + 5 = -12 Reorder the terms: 32 + -6 + 5 + 4x + 10x = -12 Combine like terms: 32 + -6 = 26 26 + 5 + 4x + 10x = -12 Combine like terms: 26 + 5 = 31 31 + 4x + 10x = -12 Combine like terms: 4x + 10x = 14x 31 + 14x = -12 Solving 31 + 14x = -12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + 14x = -12 + -31 Combine like terms: 31 + -31 = 0 0 + 14x = -12 + -31 14x = -12 + -31 Combine like terms: -12 + -31 = -43 14x = -43 Divide each side by '14'. x = -3.071428571 Simplifying x = -3.071428571
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