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