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Simplifying 5x + -1(-12 + -2x) + 20 = 81 5x + (-12 * -1 + -2x * -1) + 20 = 81 5x + (12 + 2x) + 20 = 81 Reorder the terms: 12 + 20 + 5x + 2x = 81 Combine like terms: 12 + 20 = 32 32 + 5x + 2x = 81 Combine like terms: 5x + 2x = 7x 32 + 7x = 81 Solving 32 + 7x = 81 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 7x = 81 + -32 Combine like terms: 32 + -32 = 0 0 + 7x = 81 + -32 7x = 81 + -32 Combine like terms: 81 + -32 = 49 7x = 49 Divide each side by '7'. x = 7 Simplifying x = 7
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