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Simplifying 4(2x + 1) = 4(x + 5) Reorder the terms: 4(1 + 2x) = 4(x + 5) (1 * 4 + 2x * 4) = 4(x + 5) (4 + 8x) = 4(x + 5) Reorder the terms: 4 + 8x = 4(5 + x) 4 + 8x = (5 * 4 + x * 4) 4 + 8x = (20 + 4x) Solving 4 + 8x = 20 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 4 + 8x + -4x = 20 + 4x + -4x Combine like terms: 8x + -4x = 4x 4 + 4x = 20 + 4x + -4x Combine like terms: 4x + -4x = 0 4 + 4x = 20 + 0 4 + 4x = 20 Add '-4' to each side of the equation. 4 + -4 + 4x = 20 + -4 Combine like terms: 4 + -4 = 0 0 + 4x = 20 + -4 4x = 20 + -4 Combine like terms: 20 + -4 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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