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Simplifying 7 + -6x + -8 + 9x = 2x + 7 + -2 Reorder the terms: 7 + -8 + -6x + 9x = 2x + 7 + -2 Combine like terms: 7 + -8 = -1 -1 + -6x + 9x = 2x + 7 + -2 Combine like terms: -6x + 9x = 3x -1 + 3x = 2x + 7 + -2 Reorder the terms: -1 + 3x = 7 + -2 + 2x Combine like terms: 7 + -2 = 5 -1 + 3x = 5 + 2x Solving -1 + 3x = 5 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -1 + 3x + -2x = 5 + 2x + -2x Combine like terms: 3x + -2x = 1x -1 + 1x = 5 + 2x + -2x Combine like terms: 2x + -2x = 0 -1 + 1x = 5 + 0 -1 + 1x = 5 Add '1' to each side of the equation. -1 + 1 + 1x = 5 + 1 Combine like terms: -1 + 1 = 0 0 + 1x = 5 + 1 1x = 5 + 1 Combine like terms: 5 + 1 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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