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Simplifying 31 = 2x + -3(2x + -17) Reorder the terms: 31 = 2x + -3(-17 + 2x) 31 = 2x + (-17 * -3 + 2x * -3) 31 = 2x + (51 + -6x) Reorder the terms: 31 = 51 + 2x + -6x Combine like terms: 2x + -6x = -4x 31 = 51 + -4x Solving 31 = 51 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 31 + 4x = 51 + -4x + 4x Combine like terms: -4x + 4x = 0 31 + 4x = 51 + 0 31 + 4x = 51 Add '-31' to each side of the equation. 31 + -31 + 4x = 51 + -31 Combine like terms: 31 + -31 = 0 0 + 4x = 51 + -31 4x = 51 + -31 Combine like terms: 51 + -31 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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