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Simplifying 34 = 2(4x + 1) Reorder the terms: 34 = 2(1 + 4x) 34 = (1 * 2 + 4x * 2) 34 = (2 + 8x) Solving 34 = 2 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 34 + -8x = 2 + 8x + -8x Combine like terms: 8x + -8x = 0 34 + -8x = 2 + 0 34 + -8x = 2 Add '-34' to each side of the equation. 34 + -34 + -8x = 2 + -34 Combine like terms: 34 + -34 = 0 0 + -8x = 2 + -34 -8x = 2 + -34 Combine like terms: 2 + -34 = -32 -8x = -32 Divide each side by '-8'. x = 4 Simplifying x = 4
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