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Simplifying 9x + 42 = 34 + 6x + -20 Reorder the terms: 42 + 9x = 34 + 6x + -20 Reorder the terms: 42 + 9x = 34 + -20 + 6x Combine like terms: 34 + -20 = 14 42 + 9x = 14 + 6x Solving 42 + 9x = 14 + 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. 42 + 9x + -6x = 14 + 6x + -6x Combine like terms: 9x + -6x = 3x 42 + 3x = 14 + 6x + -6x Combine like terms: 6x + -6x = 0 42 + 3x = 14 + 0 42 + 3x = 14 Add '-42' to each side of the equation. 42 + -42 + 3x = 14 + -42 Combine like terms: 42 + -42 = 0 0 + 3x = 14 + -42 3x = 14 + -42 Combine like terms: 14 + -42 = -28 3x = -28 Divide each side by '3'. x = -9.333333333 Simplifying x = -9.333333333
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