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Simplifying 4(2x + 4) = 2x + 34 Reorder the terms: 4(4 + 2x) = 2x + 34 (4 * 4 + 2x * 4) = 2x + 34 (16 + 8x) = 2x + 34 Reorder the terms: 16 + 8x = 34 + 2x Solving 16 + 8x = 34 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 16 + 8x + -2x = 34 + 2x + -2x Combine like terms: 8x + -2x = 6x 16 + 6x = 34 + 2x + -2x Combine like terms: 2x + -2x = 0 16 + 6x = 34 + 0 16 + 6x = 34 Add '-16' to each side of the equation. 16 + -16 + 6x = 34 + -16 Combine like terms: 16 + -16 = 0 0 + 6x = 34 + -16 6x = 34 + -16 Combine like terms: 34 + -16 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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