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Simplifying 2x + -8x + 42 = 5x + 31 Reorder the terms: 42 + 2x + -8x = 5x + 31 Combine like terms: 2x + -8x = -6x 42 + -6x = 5x + 31 Reorder the terms: 42 + -6x = 31 + 5x Solving 42 + -6x = 31 + 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. 42 + -6x + -5x = 31 + 5x + -5x Combine like terms: -6x + -5x = -11x 42 + -11x = 31 + 5x + -5x Combine like terms: 5x + -5x = 0 42 + -11x = 31 + 0 42 + -11x = 31 Add '-42' to each side of the equation. 42 + -42 + -11x = 31 + -42 Combine like terms: 42 + -42 = 0 0 + -11x = 31 + -42 -11x = 31 + -42 Combine like terms: 31 + -42 = -11 -11x = -11 Divide each side by '-11'. x = 1 Simplifying x = 1
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