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Simplifying 2x + -4 = 5(8x + -9) + 35x Reorder the terms: -4 + 2x = 5(8x + -9) + 35x Reorder the terms: -4 + 2x = 5(-9 + 8x) + 35x -4 + 2x = (-9 * 5 + 8x * 5) + 35x -4 + 2x = (-45 + 40x) + 35x Combine like terms: 40x + 35x = 75x -4 + 2x = -45 + 75x Solving -4 + 2x = -45 + 75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-75x' to each side of the equation. -4 + 2x + -75x = -45 + 75x + -75x Combine like terms: 2x + -75x = -73x -4 + -73x = -45 + 75x + -75x Combine like terms: 75x + -75x = 0 -4 + -73x = -45 + 0 -4 + -73x = -45 Add '4' to each side of the equation. -4 + 4 + -73x = -45 + 4 Combine like terms: -4 + 4 = 0 0 + -73x = -45 + 4 -73x = -45 + 4 Combine like terms: -45 + 4 = -41 -73x = -41 Divide each side by '-73'. x = 0.5616438356 Simplifying x = 0.5616438356
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