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Simplifying -42 + 6x = 38 + 11x Solving -42 + 6x = 38 + 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 = 38 + 11x + -11x Combine like terms: 6x + -11x = -5x -42 + -5x = 38 + 11x + -11x Combine like terms: 11x + -11x = 0 -42 + -5x = 38 + 0 -42 + -5x = 38 Add '42' to each side of the equation. -42 + 42 + -5x = 38 + 42 Combine like terms: -42 + 42 = 0 0 + -5x = 38 + 42 -5x = 38 + 42 Combine like terms: 38 + 42 = 80 -5x = 80 Divide each side by '-5'. x = -16 Simplifying x = -16
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