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Simplifying 6 + 8(X + -4) = 1 + -4(X + -2) Reorder the terms: 6 + 8(-4 + X) = 1 + -4(X + -2) 6 + (-4 * 8 + X * 8) = 1 + -4(X + -2) 6 + (-32 + 8X) = 1 + -4(X + -2) Combine like terms: 6 + -32 = -26 -26 + 8X = 1 + -4(X + -2) Reorder the terms: -26 + 8X = 1 + -4(-2 + X) -26 + 8X = 1 + (-2 * -4 + X * -4) -26 + 8X = 1 + (8 + -4X) Combine like terms: 1 + 8 = 9 -26 + 8X = 9 + -4X Solving -26 + 8X = 9 + -4X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '4X' to each side of the equation. -26 + 8X + 4X = 9 + -4X + 4X Combine like terms: 8X + 4X = 12X -26 + 12X = 9 + -4X + 4X Combine like terms: -4X + 4X = 0 -26 + 12X = 9 + 0 -26 + 12X = 9 Add '26' to each side of the equation. -26 + 26 + 12X = 9 + 26 Combine like terms: -26 + 26 = 0 0 + 12X = 9 + 26 12X = 9 + 26 Combine like terms: 9 + 26 = 35 12X = 35 Divide each side by '12'. X = 2.916666667 Simplifying X = 2.916666667
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