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Simplifying 2x + 31 = 5(2x + -5) Reorder the terms: 31 + 2x = 5(2x + -5) Reorder the terms: 31 + 2x = 5(-5 + 2x) 31 + 2x = (-5 * 5 + 2x * 5) 31 + 2x = (-25 + 10x) Solving 31 + 2x = -25 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 31 + 2x + -10x = -25 + 10x + -10x Combine like terms: 2x + -10x = -8x 31 + -8x = -25 + 10x + -10x Combine like terms: 10x + -10x = 0 31 + -8x = -25 + 0 31 + -8x = -25 Add '-31' to each side of the equation. 31 + -31 + -8x = -25 + -31 Combine like terms: 31 + -31 = 0 0 + -8x = -25 + -31 -8x = -25 + -31 Combine like terms: -25 + -31 = -56 -8x = -56 Divide each side by '-8'. x = 7 Simplifying x = 7
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