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Simplifying 7x + -17 + 8x = 12x + 13 Reorder the terms: -17 + 7x + 8x = 12x + 13 Combine like terms: 7x + 8x = 15x -17 + 15x = 12x + 13 Reorder the terms: -17 + 15x = 13 + 12x Solving -17 + 15x = 13 + 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. -17 + 15x + -12x = 13 + 12x + -12x Combine like terms: 15x + -12x = 3x -17 + 3x = 13 + 12x + -12x Combine like terms: 12x + -12x = 0 -17 + 3x = 13 + 0 -17 + 3x = 13 Add '17' to each side of the equation. -17 + 17 + 3x = 13 + 17 Combine like terms: -17 + 17 = 0 0 + 3x = 13 + 17 3x = 13 + 17 Combine like terms: 13 + 17 = 30 3x = 30 Divide each side by '3'. x = 10 Simplifying x = 10
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