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Simplifying 5(25x + -75) + 9 = 4(8x + 36) Reorder the terms: 5(-75 + 25x) + 9 = 4(8x + 36) (-75 * 5 + 25x * 5) + 9 = 4(8x + 36) (-375 + 125x) + 9 = 4(8x + 36) Reorder the terms: -375 + 9 + 125x = 4(8x + 36) Combine like terms: -375 + 9 = -366 -366 + 125x = 4(8x + 36) Reorder the terms: -366 + 125x = 4(36 + 8x) -366 + 125x = (36 * 4 + 8x * 4) -366 + 125x = (144 + 32x) Solving -366 + 125x = 144 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. -366 + 125x + -32x = 144 + 32x + -32x Combine like terms: 125x + -32x = 93x -366 + 93x = 144 + 32x + -32x Combine like terms: 32x + -32x = 0 -366 + 93x = 144 + 0 -366 + 93x = 144 Add '366' to each side of the equation. -366 + 366 + 93x = 144 + 366 Combine like terms: -366 + 366 = 0 0 + 93x = 144 + 366 93x = 144 + 366 Combine like terms: 144 + 366 = 510 93x = 510 Divide each side by '93'. x = 5.483870968 Simplifying x = 5.483870968
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