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Simplifying 4x + 1(x + 1) = 52 Reorder the terms: 4x + 1(1 + x) = 52 4x + (1 * 1 + x * 1) = 52 4x + (1 + 1x) = 52 Reorder the terms: 1 + 4x + 1x = 52 Combine like terms: 4x + 1x = 5x 1 + 5x = 52 Solving 1 + 5x = 52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 5x = 52 + -1 Combine like terms: 1 + -1 = 0 0 + 5x = 52 + -1 5x = 52 + -1 Combine like terms: 52 + -1 = 51 5x = 51 Divide each side by '5'. x = 10.2 Simplifying x = 10.2
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