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Simplifying 7x + 42 = 2 + -2x + 6 Reorder the terms: 42 + 7x = 2 + -2x + 6 Reorder the terms: 42 + 7x = 2 + 6 + -2x Combine like terms: 2 + 6 = 8 42 + 7x = 8 + -2x Solving 42 + 7x = 8 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 42 + 7x + 2x = 8 + -2x + 2x Combine like terms: 7x + 2x = 9x 42 + 9x = 8 + -2x + 2x Combine like terms: -2x + 2x = 0 42 + 9x = 8 + 0 42 + 9x = 8 Add '-42' to each side of the equation. 42 + -42 + 9x = 8 + -42 Combine like terms: 42 + -42 = 0 0 + 9x = 8 + -42 9x = 8 + -42 Combine like terms: 8 + -42 = -34 9x = -34 Divide each side by '9'. x = -3.777777778 Simplifying x = -3.777777778
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