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Simplifying 8x + 12 + -1x = 16 + 6x + -1x Reorder the terms: 12 + 8x + -1x = 16 + 6x + -1x Combine like terms: 8x + -1x = 7x 12 + 7x = 16 + 6x + -1x Combine like terms: 6x + -1x = 5x 12 + 7x = 16 + 5x Solving 12 + 7x = 16 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 12 + 7x + -5x = 16 + 5x + -5x Combine like terms: 7x + -5x = 2x 12 + 2x = 16 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + 2x = 16 + 0 12 + 2x = 16 Add '-12' to each side of the equation. 12 + -12 + 2x = 16 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = 16 + -12 2x = 16 + -12 Combine like terms: 16 + -12 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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