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Simplifying (5x + 6) + -1(4x + 5) = 0 Reorder the terms: (6 + 5x) + -1(4x + 5) = 0 Remove parenthesis around (6 + 5x) 6 + 5x + -1(4x + 5) = 0 Reorder the terms: 6 + 5x + -1(5 + 4x) = 0 6 + 5x + (5 * -1 + 4x * -1) = 0 6 + 5x + (-5 + -4x) = 0 Reorder the terms: 6 + -5 + 5x + -4x = 0 Combine like terms: 6 + -5 = 1 1 + 5x + -4x = 0 Combine like terms: 5x + -4x = 1x 1 + 1x = 0 Solving 1 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = 0 + -1 1x = 0 + -1 Combine like terms: 0 + -1 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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