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Simplifying 8x + 2 + 5x + 7 = 12x + 14 Reorder the terms: 2 + 7 + 8x + 5x = 12x + 14 Combine like terms: 2 + 7 = 9 9 + 8x + 5x = 12x + 14 Combine like terms: 8x + 5x = 13x 9 + 13x = 12x + 14 Reorder the terms: 9 + 13x = 14 + 12x Solving 9 + 13x = 14 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 9 + 13x + -12x = 14 + 12x + -12x Combine like terms: 13x + -12x = 1x 9 + 1x = 14 + 12x + -12x Combine like terms: 12x + -12x = 0 9 + 1x = 14 + 0 9 + 1x = 14 Add '-9' to each side of the equation. 9 + -9 + 1x = 14 + -9 Combine like terms: 9 + -9 = 0 0 + 1x = 14 + -9 1x = 14 + -9 Combine like terms: 14 + -9 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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