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Simplifying (4x + 5) + (-5x + 8) = 0 Reorder the terms: (5 + 4x) + (-5x + 8) = 0 Remove parenthesis around (5 + 4x) 5 + 4x + (-5x + 8) = 0 Reorder the terms: 5 + 4x + (8 + -5x) = 0 Remove parenthesis around (8 + -5x) 5 + 4x + 8 + -5x = 0 Reorder the terms: 5 + 8 + 4x + -5x = 0 Combine like terms: 5 + 8 = 13 13 + 4x + -5x = 0 Combine like terms: 4x + -5x = -1x 13 + -1x = 0 Solving 13 + -1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = 0 + -13 -1x = 0 + -13 Combine like terms: 0 + -13 = -13 -1x = -13 Divide each side by '-1'. x = 13 Simplifying x = 13
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