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Simplifying 8(X + -1(3 + -1x) + -2x) = 8(9 + -1x) 8(X + (3 * -1 + -1x * -1) + -2x) = 8(9 + -1x) 8(X + (-3 + 1x) + -2x) = 8(9 + -1x) Reorder the terms: 8(-3 + X + 1x + -2x) = 8(9 + -1x) Combine like terms: 1x + -2x = -1x 8(-3 + X + -1x) = 8(9 + -1x) (-3 * 8 + X * 8 + -1x * 8) = 8(9 + -1x) (-24 + 8X + -8x) = 8(9 + -1x) -24 + 8X + -8x = (9 * 8 + -1x * 8) -24 + 8X + -8x = (72 + -8x) Add '8x' to each side of the equation. -24 + 8X + -8x + 8x = 72 + -8x + 8x Combine like terms: -8x + 8x = 0 -24 + 8X + 0 = 72 + -8x + 8x -24 + 8X = 72 + -8x + 8x Combine like terms: -8x + 8x = 0 -24 + 8X = 72 + 0 -24 + 8X = 72 Solving -24 + 8X = 72 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 8X = 72 + 24 Combine like terms: -24 + 24 = 0 0 + 8X = 72 + 24 8X = 72 + 24 Combine like terms: 72 + 24 = 96 8X = 96 Divide each side by '8'. X = 12 Simplifying X = 12
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