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Simplifying (4x + 1) + -1(2x + -4) = 0 Reorder the terms: (1 + 4x) + -1(2x + -4) = 0 Remove parenthesis around (1 + 4x) 1 + 4x + -1(2x + -4) = 0 Reorder the terms: 1 + 4x + -1(-4 + 2x) = 0 1 + 4x + (-4 * -1 + 2x * -1) = 0 1 + 4x + (4 + -2x) = 0 Reorder the terms: 1 + 4 + 4x + -2x = 0 Combine like terms: 1 + 4 = 5 5 + 4x + -2x = 0 Combine like terms: 4x + -2x = 2x 5 + 2x = 0 Solving 5 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 0 + -5 2x = 0 + -5 Combine like terms: 0 + -5 = -5 2x = -5 Divide each side by '2'. x = -2.5 Simplifying x = -2.5
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