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Simplifying (5x + -1)(x + 3) + -1(x + -5)(5x + 1) = 40 Reorder the terms: (-1 + 5x)(x + 3) + -1(x + -5)(5x + 1) = 40 Reorder the terms: (-1 + 5x)(3 + x) + -1(x + -5)(5x + 1) = 40 Multiply (-1 + 5x) * (3 + x) (-1(3 + x) + 5x * (3 + x)) + -1(x + -5)(5x + 1) = 40 ((3 * -1 + x * -1) + 5x * (3 + x)) + -1(x + -5)(5x + 1) = 40 ((-3 + -1x) + 5x * (3 + x)) + -1(x + -5)(5x + 1) = 40 (-3 + -1x + (3 * 5x + x * 5x)) + -1(x + -5)(5x + 1) = 40 (-3 + -1x + (15x + 5x2)) + -1(x + -5)(5x + 1) = 40 Combine like terms: -1x + 15x = 14x (-3 + 14x + 5x2) + -1(x + -5)(5x + 1) = 40 Reorder the terms: -3 + 14x + 5x2 + -1(-5 + x)(5x + 1) = 40 Reorder the terms: -3 + 14x + 5x2 + -1(-5 + x)(1 + 5x) = 40 Multiply (-5 + x) * (1 + 5x) -3 + 14x + 5x2 + -1(-5(1 + 5x) + x(1 + 5x)) = 40 -3 + 14x + 5x2 + -1((1 * -5 + 5x * -5) + x(1 + 5x)) = 40 -3 + 14x + 5x2 + -1((-5 + -25x) + x(1 + 5x)) = 40 -3 + 14x + 5x2 + -1(-5 + -25x + (1 * x + 5x * x)) = 40 -3 + 14x + 5x2 + -1(-5 + -25x + (1x + 5x2)) = 40 Combine like terms: -25x + 1x = -24x -3 + 14x + 5x2 + -1(-5 + -24x + 5x2) = 40 -3 + 14x + 5x2 + (-5 * -1 + -24x * -1 + 5x2 * -1) = 40 -3 + 14x + 5x2 + (5 + 24x + -5x2) = 40 Reorder the terms: -3 + 5 + 14x + 24x + 5x2 + -5x2 = 40 Combine like terms: -3 + 5 = 2 2 + 14x + 24x + 5x2 + -5x2 = 40 Combine like terms: 14x + 24x = 38x 2 + 38x + 5x2 + -5x2 = 40 Combine like terms: 5x2 + -5x2 = 0 2 + 38x + 0 = 40 2 + 38x = 40 Solving 2 + 38x = 40 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 38x = 40 + -2 Combine like terms: 2 + -2 = 0 0 + 38x = 40 + -2 38x = 40 + -2 Combine like terms: 40 + -2 = 38 38x = 38 Divide each side by '38'. x = 1 Simplifying x = 1
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