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Simplifying 3x + -7 + 2x = 9 + 7x + 6 Reorder the terms: -7 + 3x + 2x = 9 + 7x + 6 Combine like terms: 3x + 2x = 5x -7 + 5x = 9 + 7x + 6 Reorder the terms: -7 + 5x = 9 + 6 + 7x Combine like terms: 9 + 6 = 15 -7 + 5x = 15 + 7x Solving -7 + 5x = 15 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -7 + 5x + -7x = 15 + 7x + -7x Combine like terms: 5x + -7x = -2x -7 + -2x = 15 + 7x + -7x Combine like terms: 7x + -7x = 0 -7 + -2x = 15 + 0 -7 + -2x = 15 Add '7' to each side of the equation. -7 + 7 + -2x = 15 + 7 Combine like terms: -7 + 7 = 0 0 + -2x = 15 + 7 -2x = 15 + 7 Combine like terms: 15 + 7 = 22 -2x = 22 Divide each side by '-2'. x = -11 Simplifying x = -11
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