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