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Simplifying (2x + 16) + 34 = (3x + 8) Reorder the terms: (16 + 2x) + 34 = (3x + 8) Remove parenthesis around (16 + 2x) 16 + 2x + 34 = (3x + 8) Reorder the terms: 16 + 34 + 2x = (3x + 8) Combine like terms: 16 + 34 = 50 50 + 2x = (3x + 8) Reorder the terms: 50 + 2x = (8 + 3x) Remove parenthesis around (8 + 3x) 50 + 2x = 8 + 3x Solving 50 + 2x = 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. 50 + 2x + -3x = 8 + 3x + -3x Combine like terms: 2x + -3x = -1x 50 + -1x = 8 + 3x + -3x Combine like terms: 3x + -3x = 0 50 + -1x = 8 + 0 50 + -1x = 8 Add '-50' to each side of the equation. 50 + -50 + -1x = 8 + -50 Combine like terms: 50 + -50 = 0 0 + -1x = 8 + -50 -1x = 8 + -50 Combine like terms: 8 + -50 = -42 -1x = -42 Divide each side by '-1'. x = 42 Simplifying x = 42
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