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Simplifying 8(X + -8) = 7(X + -8) Reorder the terms: 8(-8 + X) = 7(X + -8) (-8 * 8 + X * 8) = 7(X + -8) (-64 + 8X) = 7(X + -8) Reorder the terms: -64 + 8X = 7(-8 + X) -64 + 8X = (-8 * 7 + X * 7) -64 + 8X = (-56 + 7X) Solving -64 + 8X = -56 + 7X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-7X' to each side of the equation. -64 + 8X + -7X = -56 + 7X + -7X Combine like terms: 8X + -7X = 1X -64 + 1X = -56 + 7X + -7X Combine like terms: 7X + -7X = 0 -64 + 1X = -56 + 0 -64 + 1X = -56 Add '64' to each side of the equation. -64 + 64 + 1X = -56 + 64 Combine like terms: -64 + 64 = 0 0 + 1X = -56 + 64 1X = -56 + 64 Combine like terms: -56 + 64 = 8 1X = 8 Divide each side by '1'. X = 8 Simplifying X = 8
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