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Simplifying (4x + 1) + (-5x + 9) = 0 Reorder the terms: (1 + 4x) + (-5x + 9) = 0 Remove parenthesis around (1 + 4x) 1 + 4x + (-5x + 9) = 0 Reorder the terms: 1 + 4x + (9 + -5x) = 0 Remove parenthesis around (9 + -5x) 1 + 4x + 9 + -5x = 0 Reorder the terms: 1 + 9 + 4x + -5x = 0 Combine like terms: 1 + 9 = 10 10 + 4x + -5x = 0 Combine like terms: 4x + -5x = -1x 10 + -1x = 0 Solving 10 + -1x = 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 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10
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