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Simplifying (2x + -3)(x + 5) + -2x(x + -3) = 5 Reorder the terms: (-3 + 2x)(x + 5) + -2x(x + -3) = 5 Reorder the terms: (-3 + 2x)(5 + x) + -2x(x + -3) = 5 Multiply (-3 + 2x) * (5 + x) (-3(5 + x) + 2x * (5 + x)) + -2x(x + -3) = 5 ((5 * -3 + x * -3) + 2x * (5 + x)) + -2x(x + -3) = 5 ((-15 + -3x) + 2x * (5 + x)) + -2x(x + -3) = 5 (-15 + -3x + (5 * 2x + x * 2x)) + -2x(x + -3) = 5 (-15 + -3x + (10x + 2x2)) + -2x(x + -3) = 5 Combine like terms: -3x + 10x = 7x (-15 + 7x + 2x2) + -2x(x + -3) = 5 Reorder the terms: -15 + 7x + 2x2 + -2x(-3 + x) = 5 -15 + 7x + 2x2 + (-3 * -2x + x * -2x) = 5 -15 + 7x + 2x2 + (6x + -2x2) = 5 Reorder the terms: -15 + 7x + 6x + 2x2 + -2x2 = 5 Combine like terms: 7x + 6x = 13x -15 + 13x + 2x2 + -2x2 = 5 Combine like terms: 2x2 + -2x2 = 0 -15 + 13x + 0 = 5 -15 + 13x = 5 Solving -15 + 13x = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 13x = 5 + 15 Combine like terms: -15 + 15 = 0 0 + 13x = 5 + 15 13x = 5 + 15 Combine like terms: 5 + 15 = 20 13x = 20 Divide each side by '13'. x = 1.538461538 Simplifying x = 1.538461538
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