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Simplifying 31 + 8x = 7(2x + -2) + 3x Reorder the terms: 31 + 8x = 7(-2 + 2x) + 3x 31 + 8x = (-2 * 7 + 2x * 7) + 3x 31 + 8x = (-14 + 14x) + 3x Combine like terms: 14x + 3x = 17x 31 + 8x = -14 + 17x Solving 31 + 8x = -14 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 31 + 8x + -17x = -14 + 17x + -17x Combine like terms: 8x + -17x = -9x 31 + -9x = -14 + 17x + -17x Combine like terms: 17x + -17x = 0 31 + -9x = -14 + 0 31 + -9x = -14 Add '-31' to each side of the equation. 31 + -31 + -9x = -14 + -31 Combine like terms: 31 + -31 = 0 0 + -9x = -14 + -31 -9x = -14 + -31 Combine like terms: -14 + -31 = -45 -9x = -45 Divide each side by '-9'. x = 5 Simplifying x = 5
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