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Simplifying 8(-1X) + -2(X + 1) = 3(2 + -2X) Remove parenthesis around (-1X) 8 * -1X + -2(X + 1) = 3(2 + -2X) Multiply 8 * -1 -8X + -2(X + 1) = 3(2 + -2X) Reorder the terms: -8X + -2(1 + X) = 3(2 + -2X) -8X + (1 * -2 + X * -2) = 3(2 + -2X) -8X + (-2 + -2X) = 3(2 + -2X) Reorder the terms: -2 + -8X + -2X = 3(2 + -2X) Combine like terms: -8X + -2X = -10X -2 + -10X = 3(2 + -2X) -2 + -10X = (2 * 3 + -2X * 3) -2 + -10X = (6 + -6X) Solving -2 + -10X = 6 + -6X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '6X' to each side of the equation. -2 + -10X + 6X = 6 + -6X + 6X Combine like terms: -10X + 6X = -4X -2 + -4X = 6 + -6X + 6X Combine like terms: -6X + 6X = 0 -2 + -4X = 6 + 0 -2 + -4X = 6 Add '2' to each side of the equation. -2 + 2 + -4X = 6 + 2 Combine like terms: -2 + 2 = 0 0 + -4X = 6 + 2 -4X = 6 + 2 Combine like terms: 6 + 2 = 8 -4X = 8 Divide each side by '-4'. X = -2 Simplifying X = -2
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