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Simplifying 2(2x + 11) = 3x + 8 Reorder the terms: 2(11 + 2x) = 3x + 8 (11 * 2 + 2x * 2) = 3x + 8 (22 + 4x) = 3x + 8 Reorder the terms: 22 + 4x = 8 + 3x Solving 22 + 4x = 8 + 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 + 4x + -3x = 8 + 3x + -3x Combine like terms: 4x + -3x = 1x 22 + 1x = 8 + 3x + -3x Combine like terms: 3x + -3x = 0 22 + 1x = 8 + 0 22 + 1x = 8 Add '-22' to each side of the equation. 22 + -22 + 1x = 8 + -22 Combine like terms: 22 + -22 = 0 0 + 1x = 8 + -22 1x = 8 + -22 Combine like terms: 8 + -22 = -14 1x = -14 Divide each side by '1'. x = -14 Simplifying x = -14
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