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Simplifying 4(1 + -1x) + 2(2 + -1x) = 5 + -11(X + -5) (1 * 4 + -1x * 4) + 2(2 + -1x) = 5 + -11(X + -5) (4 + -4x) + 2(2 + -1x) = 5 + -11(X + -5) 4 + -4x + (2 * 2 + -1x * 2) = 5 + -11(X + -5) 4 + -4x + (4 + -2x) = 5 + -11(X + -5) Reorder the terms: 4 + 4 + -4x + -2x = 5 + -11(X + -5) Combine like terms: 4 + 4 = 8 8 + -4x + -2x = 5 + -11(X + -5) Combine like terms: -4x + -2x = -6x 8 + -6x = 5 + -11(X + -5) Reorder the terms: 8 + -6x = 5 + -11(-5 + X) 8 + -6x = 5 + (-5 * -11 + X * -11) 8 + -6x = 5 + (55 + -11X) Combine like terms: 5 + 55 = 60 8 + -6x = 60 + -11X Solving 8 + -6x = 60 + -11X Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -6x = 60 + -8 + -11X Combine like terms: 8 + -8 = 0 0 + -6x = 60 + -8 + -11X -6x = 60 + -8 + -11X Combine like terms: 60 + -8 = 52 -6x = 52 + -11X Divide each side by '-6'. x = -8.666666667 + 1.833333333X Simplifying x = -8.666666667 + 1.833333333X
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