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Simplifying -6(8 + -2X) = 6X(6 + -2) (8 * -6 + -2X * -6) = 6X(6 + -2) (-48 + 12X) = 6X(6 + -2) Combine like terms: 6 + -2 = 4 -48 + 12X = 6X(4) Reorder the terms for easier multiplication: -48 + 12X = 6 * 4X Multiply 6 * 4 -48 + 12X = 24X Solving -48 + 12X = 24X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-24X' to each side of the equation. -48 + 12X + -24X = 24X + -24X Combine like terms: 12X + -24X = -12X -48 + -12X = 24X + -24X Combine like terms: 24X + -24X = 0 -48 + -12X = 0 Add '48' to each side of the equation. -48 + 48 + -12X = 0 + 48 Combine like terms: -48 + 48 = 0 0 + -12X = 0 + 48 -12X = 0 + 48 Combine like terms: 0 + 48 = 48 -12X = 48 Divide each side by '-12'. X = -4 Simplifying X = -4
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