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Simplifying (5x + -7)(4x + 5) = 10x(2x + -1) Reorder the terms: (-7 + 5x)(4x + 5) = 10x(2x + -1) Reorder the terms: (-7 + 5x)(5 + 4x) = 10x(2x + -1) Multiply (-7 + 5x) * (5 + 4x) (-7(5 + 4x) + 5x * (5 + 4x)) = 10x(2x + -1) ((5 * -7 + 4x * -7) + 5x * (5 + 4x)) = 10x(2x + -1) ((-35 + -28x) + 5x * (5 + 4x)) = 10x(2x + -1) (-35 + -28x + (5 * 5x + 4x * 5x)) = 10x(2x + -1) (-35 + -28x + (25x + 20x2)) = 10x(2x + -1) Combine like terms: -28x + 25x = -3x (-35 + -3x + 20x2) = 10x(2x + -1) Reorder the terms: -35 + -3x + 20x2 = 10x(-1 + 2x) -35 + -3x + 20x2 = (-1 * 10x + 2x * 10x) -35 + -3x + 20x2 = (-10x + 20x2) Add '-20x2' to each side of the equation. -35 + -3x + 20x2 + -20x2 = -10x + 20x2 + -20x2 Combine like terms: 20x2 + -20x2 = 0 -35 + -3x + 0 = -10x + 20x2 + -20x2 -35 + -3x = -10x + 20x2 + -20x2 Combine like terms: 20x2 + -20x2 = 0 -35 + -3x = -10x + 0 -35 + -3x = -10x Solving -35 + -3x = -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -35 + -3x + 10x = -10x + 10x Combine like terms: -3x + 10x = 7x -35 + 7x = -10x + 10x Combine like terms: -10x + 10x = 0 -35 + 7x = 0 Add '35' to each side of the equation. -35 + 35 + 7x = 0 + 35 Combine like terms: -35 + 35 = 0 0 + 7x = 0 + 35 7x = 0 + 35 Combine like terms: 0 + 35 = 35 7x = 35 Divide each side by '7'. x = 5 Simplifying x = 5
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