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Simplifying 2(3x + 11) = -3x + 31 Reorder the terms: 2(11 + 3x) = -3x + 31 (11 * 2 + 3x * 2) = -3x + 31 (22 + 6x) = -3x + 31 Reorder the terms: 22 + 6x = 31 + -3x Solving 22 + 6x = 31 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 22 + 6x + 3x = 31 + -3x + 3x Combine like terms: 6x + 3x = 9x 22 + 9x = 31 + -3x + 3x Combine like terms: -3x + 3x = 0 22 + 9x = 31 + 0 22 + 9x = 31 Add '-22' to each side of the equation. 22 + -22 + 9x = 31 + -22 Combine like terms: 22 + -22 = 0 0 + 9x = 31 + -22 9x = 31 + -22 Combine like terms: 31 + -22 = 9 9x = 9 Divide each side by '9'. x = 1 Simplifying x = 1
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