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Simplifying 4(4x + 1) = 36 + 8x Reorder the terms: 4(1 + 4x) = 36 + 8x (1 * 4 + 4x * 4) = 36 + 8x (4 + 16x) = 36 + 8x Solving 4 + 16x = 36 + 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. 4 + 16x + -8x = 36 + 8x + -8x Combine like terms: 16x + -8x = 8x 4 + 8x = 36 + 8x + -8x Combine like terms: 8x + -8x = 0 4 + 8x = 36 + 0 4 + 8x = 36 Add '-4' to each side of the equation. 4 + -4 + 8x = 36 + -4 Combine like terms: 4 + -4 = 0 0 + 8x = 36 + -4 8x = 36 + -4 Combine like terms: 36 + -4 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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