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Simplifying 2(x + 5) = 9x + 31 Reorder the terms: 2(5 + x) = 9x + 31 (5 * 2 + x * 2) = 9x + 31 (10 + 2x) = 9x + 31 Reorder the terms: 10 + 2x = 31 + 9x Solving 10 + 2x = 31 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 10 + 2x + -9x = 31 + 9x + -9x Combine like terms: 2x + -9x = -7x 10 + -7x = 31 + 9x + -9x Combine like terms: 9x + -9x = 0 10 + -7x = 31 + 0 10 + -7x = 31 Add '-10' to each side of the equation. 10 + -10 + -7x = 31 + -10 Combine like terms: 10 + -10 = 0 0 + -7x = 31 + -10 -7x = 31 + -10 Combine like terms: 31 + -10 = 21 -7x = 21 Divide each side by '-7'. x = -3 Simplifying x = -3
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