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Simplifying 4(2x + 1) + -2x = 34 Reorder the terms: 4(1 + 2x) + -2x = 34 (1 * 4 + 2x * 4) + -2x = 34 (4 + 8x) + -2x = 34 Combine like terms: 8x + -2x = 6x 4 + 6x = 34 Solving 4 + 6x = 34 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 6x = 34 + -4 Combine like terms: 4 + -4 = 0 0 + 6x = 34 + -4 6x = 34 + -4 Combine like terms: 34 + -4 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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