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Simplifying x2 + 12x + 36 + -1(x + -5)(x + 5) = 79 Reorder the terms: x2 + 12x + 36 + -1(-5 + x)(x + 5) = 79 Reorder the terms: x2 + 12x + 36 + -1(-5 + x)(5 + x) = 79 Multiply (-5 + x) * (5 + x) x2 + 12x + 36 + -1(-5(5 + x) + x(5 + x)) = 79 x2 + 12x + 36 + -1((5 * -5 + x * -5) + x(5 + x)) = 79 x2 + 12x + 36 + -1((-25 + -5x) + x(5 + x)) = 79 x2 + 12x + 36 + -1(-25 + -5x + (5 * x + x * x)) = 79 x2 + 12x + 36 + -1(-25 + -5x + (5x + x2)) = 79 Combine like terms: -5x + 5x = 0 x2 + 12x + 36 + -1(-25 + 0 + x2) = 79 x2 + 12x + 36 + -1(-25 + x2) = 79 x2 + 12x + 36 + (-25 * -1 + x2 * -1) = 79 x2 + 12x + 36 + (25 + -1x2) = 79 Reorder the terms: 36 + 25 + 12x + x2 + -1x2 = 79 Combine like terms: 36 + 25 = 61 61 + 12x + x2 + -1x2 = 79 Combine like terms: x2 + -1x2 = 0 61 + 12x + 0 = 79 61 + 12x = 79 Solving 61 + 12x = 79 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-61' to each side of the equation. 61 + -61 + 12x = 79 + -61 Combine like terms: 61 + -61 = 0 0 + 12x = 79 + -61 12x = 79 + -61 Combine like terms: 79 + -61 = 18 12x = 18 Divide each side by '12'. x = 1.5 Simplifying x = 1.5
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