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Simplifying 3x + -8 + 7x = 12 + 9x + -3 Reorder the terms: -8 + 3x + 7x = 12 + 9x + -3 Combine like terms: 3x + 7x = 10x -8 + 10x = 12 + 9x + -3 Reorder the terms: -8 + 10x = 12 + -3 + 9x Combine like terms: 12 + -3 = 9 -8 + 10x = 9 + 9x Solving -8 + 10x = 9 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -8 + 10x + -9x = 9 + 9x + -9x Combine like terms: 10x + -9x = 1x -8 + 1x = 9 + 9x + -9x Combine like terms: 9x + -9x = 0 -8 + 1x = 9 + 0 -8 + 1x = 9 Add '8' to each side of the equation. -8 + 8 + 1x = 9 + 8 Combine like terms: -8 + 8 = 0 0 + 1x = 9 + 8 1x = 9 + 8 Combine like terms: 9 + 8 = 17 1x = 17 Divide each side by '1'. x = 17 Simplifying x = 17
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