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