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Simplifying 3x + -7 + 2x = 9x + -5 + 6 Reorder the terms: -7 + 3x + 2x = 9x + -5 + 6 Combine like terms: 3x + 2x = 5x -7 + 5x = 9x + -5 + 6 Reorder the terms: -7 + 5x = -5 + 6 + 9x Combine like terms: -5 + 6 = 1 -7 + 5x = 1 + 9x Solving -7 + 5x = 1 + 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. -7 + 5x + -9x = 1 + 9x + -9x Combine like terms: 5x + -9x = -4x -7 + -4x = 1 + 9x + -9x Combine like terms: 9x + -9x = 0 -7 + -4x = 1 + 0 -7 + -4x = 1 Add '7' to each side of the equation. -7 + 7 + -4x = 1 + 7 Combine like terms: -7 + 7 = 0 0 + -4x = 1 + 7 -4x = 1 + 7 Combine like terms: 1 + 7 = 8 -4x = 8 Divide each side by '-4'. x = -2 Simplifying x = -2
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