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Simplifying 4(x + 4) + 5(5x) = 161 Reorder the terms: 4(4 + x) + 5(5x) = 161 (4 * 4 + x * 4) + 5(5x) = 161 (16 + 4x) + 5(5x) = 161 Remove parenthesis around (5x) 16 + 4x + 5 * 5x = 161 Multiply 5 * 5 16 + 4x + 25x = 161 Combine like terms: 4x + 25x = 29x 16 + 29x = 161 Solving 16 + 29x = 161 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 29x = 161 + -16 Combine like terms: 16 + -16 = 0 0 + 29x = 161 + -16 29x = 161 + -16 Combine like terms: 161 + -16 = 145 29x = 145 Divide each side by '29'. x = 5 Simplifying x = 5
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