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Simplifying 6x + 2 = 42 + -2x Reorder the terms: 2 + 6x = 42 + -2x Solving 2 + 6x = 42 + -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. 2 + 6x + 2x = 42 + -2x + 2x Combine like terms: 6x + 2x = 8x 2 + 8x = 42 + -2x + 2x Combine like terms: -2x + 2x = 0 2 + 8x = 42 + 0 2 + 8x = 42 Add '-2' to each side of the equation. 2 + -2 + 8x = 42 + -2 Combine like terms: 2 + -2 = 0 0 + 8x = 42 + -2 8x = 42 + -2 Combine like terms: 42 + -2 = 40 8x = 40 Divide each side by '8'. x = 5 Simplifying x = 5
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