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Simplifying -2(x + 5) + 121 = 20 + 31 Reorder the terms: -2(5 + x) + 121 = 20 + 31 (5 * -2 + x * -2) + 121 = 20 + 31 (-10 + -2x) + 121 = 20 + 31 Reorder the terms: -10 + 121 + -2x = 20 + 31 Combine like terms: -10 + 121 = 111 111 + -2x = 20 + 31 Combine like terms: 20 + 31 = 51 111 + -2x = 51 Solving 111 + -2x = 51 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-111' to each side of the equation. 111 + -111 + -2x = 51 + -111 Combine like terms: 111 + -111 = 0 0 + -2x = 51 + -111 -2x = 51 + -111 Combine like terms: 51 + -111 = -60 -2x = -60 Divide each side by '-2'. x = 30 Simplifying x = 30
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