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Simplifying -57 + 6x = 42 + -5x Solving -57 + 6x = 42 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -57 + 6x + 5x = 42 + -5x + 5x Combine like terms: 6x + 5x = 11x -57 + 11x = 42 + -5x + 5x Combine like terms: -5x + 5x = 0 -57 + 11x = 42 + 0 -57 + 11x = 42 Add '57' to each side of the equation. -57 + 57 + 11x = 42 + 57 Combine like terms: -57 + 57 = 0 0 + 11x = 42 + 57 11x = 42 + 57 Combine like terms: 42 + 57 = 99 11x = 99 Divide each side by '11'. x = 9 Simplifying x = 9
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