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Simplifying (-2x + 1) + (4x + 9) = 0 Reorder the terms: (1 + -2x) + (4x + 9) = 0 Remove parenthesis around (1 + -2x) 1 + -2x + (4x + 9) = 0 Reorder the terms: 1 + -2x + (9 + 4x) = 0 Remove parenthesis around (9 + 4x) 1 + -2x + 9 + 4x = 0 Reorder the terms: 1 + 9 + -2x + 4x = 0 Combine like terms: 1 + 9 = 10 10 + -2x + 4x = 0 Combine like terms: -2x + 4x = 2x 10 + 2x = 0 Solving 10 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 2x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 2x = 0 + -10 2x = 0 + -10 Combine like terms: 0 + -10 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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