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Simplifying 2x + 6 = 38 + -6x Reorder the terms: 6 + 2x = 38 + -6x Solving 6 + 2x = 38 + -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. 6 + 2x + 6x = 38 + -6x + 6x Combine like terms: 2x + 6x = 8x 6 + 8x = 38 + -6x + 6x Combine like terms: -6x + 6x = 0 6 + 8x = 38 + 0 6 + 8x = 38 Add '-6' to each side of the equation. 6 + -6 + 8x = 38 + -6 Combine like terms: 6 + -6 = 0 0 + 8x = 38 + -6 8x = 38 + -6 Combine like terms: 38 + -6 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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