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Simplifying 7x + 12 + 5x + 7 = 9 + 10x + 8 Reorder the terms: 12 + 7 + 7x + 5x = 9 + 10x + 8 Combine like terms: 12 + 7 = 19 19 + 7x + 5x = 9 + 10x + 8 Combine like terms: 7x + 5x = 12x 19 + 12x = 9 + 10x + 8 Reorder the terms: 19 + 12x = 9 + 8 + 10x Combine like terms: 9 + 8 = 17 19 + 12x = 17 + 10x Solving 19 + 12x = 17 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 19 + 12x + -10x = 17 + 10x + -10x Combine like terms: 12x + -10x = 2x 19 + 2x = 17 + 10x + -10x Combine like terms: 10x + -10x = 0 19 + 2x = 17 + 0 19 + 2x = 17 Add '-19' to each side of the equation. 19 + -19 + 2x = 17 + -19 Combine like terms: 19 + -19 = 0 0 + 2x = 17 + -19 2x = 17 + -19 Combine like terms: 17 + -19 = -2 2x = -2 Divide each side by '2'. x = -1 Simplifying x = -1
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