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Simplifying 2(11x + 4) = 5x + 42 Reorder the terms: 2(4 + 11x) = 5x + 42 (4 * 2 + 11x * 2) = 5x + 42 (8 + 22x) = 5x + 42 Reorder the terms: 8 + 22x = 42 + 5x Solving 8 + 22x = 42 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 8 + 22x + -5x = 42 + 5x + -5x Combine like terms: 22x + -5x = 17x 8 + 17x = 42 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + 17x = 42 + 0 8 + 17x = 42 Add '-8' to each side of the equation. 8 + -8 + 17x = 42 + -8 Combine like terms: 8 + -8 = 0 0 + 17x = 42 + -8 17x = 42 + -8 Combine like terms: 42 + -8 = 34 17x = 34 Divide each side by '17'. x = 2 Simplifying x = 2
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