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Simplifying 8x + 12 = 6x + 22 Reorder the terms: 12 + 8x = 6x + 22 Reorder the terms: 12 + 8x = 22 + 6x Solving 12 + 8x = 22 + 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. 12 + 8x + -6x = 22 + 6x + -6x Combine like terms: 8x + -6x = 2x 12 + 2x = 22 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + 2x = 22 + 0 12 + 2x = 22 Add '-12' to each side of the equation. 12 + -12 + 2x = 22 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = 22 + -12 2x = 22 + -12 Combine like terms: 22 + -12 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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