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Simplifying 9 + 5(X + -9) = 8 + -8(x + -7) Reorder the terms: 9 + 5(-9 + X) = 8 + -8(x + -7) 9 + (-9 * 5 + X * 5) = 8 + -8(x + -7) 9 + (-45 + 5X) = 8 + -8(x + -7) Combine like terms: 9 + -45 = -36 -36 + 5X = 8 + -8(x + -7) Reorder the terms: -36 + 5X = 8 + -8(-7 + x) -36 + 5X = 8 + (-7 * -8 + x * -8) -36 + 5X = 8 + (56 + -8x) Combine like terms: 8 + 56 = 64 -36 + 5X = 64 + -8x Solving -36 + 5X = 64 + -8x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 5X = 64 + 36 + -8x Combine like terms: -36 + 36 = 0 0 + 5X = 64 + 36 + -8x 5X = 64 + 36 + -8x Combine like terms: 64 + 36 = 100 5X = 100 + -8x Divide each side by '5'. X = 20 + -1.6x Simplifying X = 20 + -1.6x
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