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Simplifying 7 + 3x + -9 = 2x + 6 + -1x Reorder the terms: 7 + -9 + 3x = 2x + 6 + -1x Combine like terms: 7 + -9 = -2 -2 + 3x = 2x + 6 + -1x Reorder the terms: -2 + 3x = 6 + 2x + -1x Combine like terms: 2x + -1x = 1x -2 + 3x = 6 + 1x Solving -2 + 3x = 6 + 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. -2 + 3x + -1x = 6 + 1x + -1x Combine like terms: 3x + -1x = 2x -2 + 2x = 6 + 1x + -1x Combine like terms: 1x + -1x = 0 -2 + 2x = 6 + 0 -2 + 2x = 6 Add '2' to each side of the equation. -2 + 2 + 2x = 6 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = 6 + 2 2x = 6 + 2 Combine like terms: 6 + 2 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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