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Simplifying (4x + 1) = (2x + 5) Reorder the terms: (1 + 4x) = (2x + 5) Remove parenthesis around (1 + 4x) 1 + 4x = (2x + 5) Reorder the terms: 1 + 4x = (5 + 2x) Remove parenthesis around (5 + 2x) 1 + 4x = 5 + 2x Solving 1 + 4x = 5 + 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. 1 + 4x + -2x = 5 + 2x + -2x Combine like terms: 4x + -2x = 2x 1 + 2x = 5 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + 2x = 5 + 0 1 + 2x = 5 Add '-1' to each side of the equation. 1 + -1 + 2x = 5 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 5 + -1 2x = 5 + -1 Combine like terms: 5 + -1 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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