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Simplifying 6X + 8X + -5 = -11(1 + -1X) Reorder the terms: -5 + 6X + 8X = -11(1 + -1X) Combine like terms: 6X + 8X = 14X -5 + 14X = -11(1 + -1X) -5 + 14X = (1 * -11 + -1X * -11) -5 + 14X = (-11 + 11X) Solving -5 + 14X = -11 + 11X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-11X' to each side of the equation. -5 + 14X + -11X = -11 + 11X + -11X Combine like terms: 14X + -11X = 3X -5 + 3X = -11 + 11X + -11X Combine like terms: 11X + -11X = 0 -5 + 3X = -11 + 0 -5 + 3X = -11 Add '5' to each side of the equation. -5 + 5 + 3X = -11 + 5 Combine like terms: -5 + 5 = 0 0 + 3X = -11 + 5 3X = -11 + 5 Combine like terms: -11 + 5 = -6 3X = -6 Divide each side by '3'. X = -2 Simplifying X = -2
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