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Simplifying 5(X + -10) + -11X = 6X + 10 Reorder the terms: 5(-10 + X) + -11X = 6X + 10 (-10 * 5 + X * 5) + -11X = 6X + 10 (-50 + 5X) + -11X = 6X + 10 Combine like terms: 5X + -11X = -6X -50 + -6X = 6X + 10 Reorder the terms: -50 + -6X = 10 + 6X Solving -50 + -6X = 10 + 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. -50 + -6X + -6X = 10 + 6X + -6X Combine like terms: -6X + -6X = -12X -50 + -12X = 10 + 6X + -6X Combine like terms: 6X + -6X = 0 -50 + -12X = 10 + 0 -50 + -12X = 10 Add '50' to each side of the equation. -50 + 50 + -12X = 10 + 50 Combine like terms: -50 + 50 = 0 0 + -12X = 10 + 50 -12X = 10 + 50 Combine like terms: 10 + 50 = 60 -12X = 60 Divide each side by '-12'. X = -5 Simplifying X = -5
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