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Simplifying -5x + -9 = 6x + -42 Reorder the terms: -9 + -5x = 6x + -42 Reorder the terms: -9 + -5x = -42 + 6x Solving -9 + -5x = -42 + 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. -9 + -5x + -6x = -42 + 6x + -6x Combine like terms: -5x + -6x = -11x -9 + -11x = -42 + 6x + -6x Combine like terms: 6x + -6x = 0 -9 + -11x = -42 + 0 -9 + -11x = -42 Add '9' to each side of the equation. -9 + 9 + -11x = -42 + 9 Combine like terms: -9 + 9 = 0 0 + -11x = -42 + 9 -11x = -42 + 9 Combine like terms: -42 + 9 = -33 -11x = -33 Divide each side by '-11'. x = 3 Simplifying x = 3
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