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Simplifying (8x + -9)(5x + -3) = (4x + 3)(10x + 7) Reorder the terms: (-9 + 8x)(5x + -3) = (4x + 3)(10x + 7) Reorder the terms: (-9 + 8x)(-3 + 5x) = (4x + 3)(10x + 7) Multiply (-9 + 8x) * (-3 + 5x) (-9(-3 + 5x) + 8x * (-3 + 5x)) = (4x + 3)(10x + 7) ((-3 * -9 + 5x * -9) + 8x * (-3 + 5x)) = (4x + 3)(10x + 7) ((27 + -45x) + 8x * (-3 + 5x)) = (4x + 3)(10x + 7) (27 + -45x + (-3 * 8x + 5x * 8x)) = (4x + 3)(10x + 7) (27 + -45x + (-24x + 40x2)) = (4x + 3)(10x + 7) Combine like terms: -45x + -24x = -69x (27 + -69x + 40x2) = (4x + 3)(10x + 7) Reorder the terms: 27 + -69x + 40x2 = (3 + 4x)(10x + 7) Reorder the terms: 27 + -69x + 40x2 = (3 + 4x)(7 + 10x) Multiply (3 + 4x) * (7 + 10x) 27 + -69x + 40x2 = (3(7 + 10x) + 4x * (7 + 10x)) 27 + -69x + 40x2 = ((7 * 3 + 10x * 3) + 4x * (7 + 10x)) 27 + -69x + 40x2 = ((21 + 30x) + 4x * (7 + 10x)) 27 + -69x + 40x2 = (21 + 30x + (7 * 4x + 10x * 4x)) 27 + -69x + 40x2 = (21 + 30x + (28x + 40x2)) Combine like terms: 30x + 28x = 58x 27 + -69x + 40x2 = (21 + 58x + 40x2) Add '-40x2' to each side of the equation. 27 + -69x + 40x2 + -40x2 = 21 + 58x + 40x2 + -40x2 Combine like terms: 40x2 + -40x2 = 0 27 + -69x + 0 = 21 + 58x + 40x2 + -40x2 27 + -69x = 21 + 58x + 40x2 + -40x2 Combine like terms: 40x2 + -40x2 = 0 27 + -69x = 21 + 58x + 0 27 + -69x = 21 + 58x Solving 27 + -69x = 21 + 58x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-58x' to each side of the equation. 27 + -69x + -58x = 21 + 58x + -58x Combine like terms: -69x + -58x = -127x 27 + -127x = 21 + 58x + -58x Combine like terms: 58x + -58x = 0 27 + -127x = 21 + 0 27 + -127x = 21 Add '-27' to each side of the equation. 27 + -27 + -127x = 21 + -27 Combine like terms: 27 + -27 = 0 0 + -127x = 21 + -27 -127x = 21 + -27 Combine like terms: 21 + -27 = -6 -127x = -6 Divide each side by '-127'. x = 0.04724409449 Simplifying x = 0.04724409449
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