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Simplifying 31 + 2x = 3(3x + -6) Reorder the terms: 31 + 2x = 3(-6 + 3x) 31 + 2x = (-6 * 3 + 3x * 3) 31 + 2x = (-18 + 9x) Solving 31 + 2x = -18 + 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. 31 + 2x + -9x = -18 + 9x + -9x Combine like terms: 2x + -9x = -7x 31 + -7x = -18 + 9x + -9x Combine like terms: 9x + -9x = 0 31 + -7x = -18 + 0 31 + -7x = -18 Add '-31' to each side of the equation. 31 + -31 + -7x = -18 + -31 Combine like terms: 31 + -31 = 0 0 + -7x = -18 + -31 -7x = -18 + -31 Combine like terms: -18 + -31 = -49 -7x = -49 Divide each side by '-7'. x = 7 Simplifying x = 7
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