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Simplifying 3x + -9 = 2x + 7 + -1x Reorder the terms: -9 + 3x = 2x + 7 + -1x Reorder the terms: -9 + 3x = 7 + 2x + -1x Combine like terms: 2x + -1x = 1x -9 + 3x = 7 + 1x Solving -9 + 3x = 7 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -9 + 3x + -1x = 7 + 1x + -1x Combine like terms: 3x + -1x = 2x -9 + 2x = 7 + 1x + -1x Combine like terms: 1x + -1x = 0 -9 + 2x = 7 + 0 -9 + 2x = 7 Add '9' to each side of the equation. -9 + 9 + 2x = 7 + 9 Combine like terms: -9 + 9 = 0 0 + 2x = 7 + 9 2x = 7 + 9 Combine like terms: 7 + 9 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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