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Simplifying 5x + -6 = 42 + -11x Reorder the terms: -6 + 5x = 42 + -11x Solving -6 + 5x = 42 + -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. -6 + 5x + 11x = 42 + -11x + 11x Combine like terms: 5x + 11x = 16x -6 + 16x = 42 + -11x + 11x Combine like terms: -11x + 11x = 0 -6 + 16x = 42 + 0 -6 + 16x = 42 Add '6' to each side of the equation. -6 + 6 + 16x = 42 + 6 Combine like terms: -6 + 6 = 0 0 + 16x = 42 + 6 16x = 42 + 6 Combine like terms: 42 + 6 = 48 16x = 48 Divide each side by '16'. x = 3 Simplifying x = 3
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