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Simplifying 8x + 12 + -6 = 6x + 12 + 26 Reorder the terms: 12 + -6 + 8x = 6x + 12 + 26 Combine like terms: 12 + -6 = 6 6 + 8x = 6x + 12 + 26 Reorder the terms: 6 + 8x = 12 + 26 + 6x Combine like terms: 12 + 26 = 38 6 + 8x = 38 + 6x Solving 6 + 8x = 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 + 8x + -6x = 38 + 6x + -6x Combine like terms: 8x + -6x = 2x 6 + 2x = 38 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + 2x = 38 + 0 6 + 2x = 38 Add '-6' to each side of the equation. 6 + -6 + 2x = 38 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = 38 + -6 2x = 38 + -6 Combine like terms: 38 + -6 = 32 2x = 32 Divide each side by '2'. x = 16 Simplifying x = 16
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