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Simplifying -42 + -6x = -11x + 33 Reorder the terms: -42 + -6x = 33 + -11x Solving -42 + -6x = 33 + -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. -42 + -6x + 11x = 33 + -11x + 11x Combine like terms: -6x + 11x = 5x -42 + 5x = 33 + -11x + 11x Combine like terms: -11x + 11x = 0 -42 + 5x = 33 + 0 -42 + 5x = 33 Add '42' to each side of the equation. -42 + 42 + 5x = 33 + 42 Combine like terms: -42 + 42 = 0 0 + 5x = 33 + 42 5x = 33 + 42 Combine like terms: 33 + 42 = 75 5x = 75 Divide each side by '5'. x = 15 Simplifying x = 15
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