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Simplifying (x2 + 6x + 5) + -1(x2 + 4x + -5) = 0 Reorder the terms: (5 + 6x + x2) + -1(x2 + 4x + -5) = 0 Remove parenthesis around (5 + 6x + x2) 5 + 6x + x2 + -1(x2 + 4x + -5) = 0 Reorder the terms: 5 + 6x + x2 + -1(-5 + 4x + x2) = 0 5 + 6x + x2 + (-5 * -1 + 4x * -1 + x2 * -1) = 0 5 + 6x + x2 + (5 + -4x + -1x2) = 0 Reorder the terms: 5 + 5 + 6x + -4x + x2 + -1x2 = 0 Combine like terms: 5 + 5 = 10 10 + 6x + -4x + x2 + -1x2 = 0 Combine like terms: 6x + -4x = 2x 10 + 2x + x2 + -1x2 = 0 Combine like terms: x2 + -1x2 = 0 10 + 2x + 0 = 0 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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