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Simplifying 6x + 6 + 2x = 6x + 12 + x Reorder the terms: 6 + 6x + 2x = 6x + 12 + x Combine like terms: 6x + 2x = 8x 6 + 8x = 6x + 12 + x Reorder the terms: 6 + 8x = 12 + 6x + x Combine like terms: 6x + x = 7x 6 + 8x = 12 + 7x Solving 6 + 8x = 12 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 6 + 8x + -7x = 12 + 7x + -7x Combine like terms: 8x + -7x = 1x 6 + 1x = 12 + 7x + -7x Combine like terms: 7x + -7x = 0 6 + 1x = 12 + 0 6 + 1x = 12 Add '-6' to each side of the equation. 6 + -6 + 1x = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = 12 + -6 1x = 12 + -6 Combine like terms: 12 + -6 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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