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Simplifying 3x + 9 + -7x = 6x + -2 + x Reorder the terms: 9 + 3x + -7x = 6x + -2 + x Combine like terms: 3x + -7x = -4x 9 + -4x = 6x + -2 + x Reorder the terms: 9 + -4x = -2 + 6x + x Combine like terms: 6x + x = 7x 9 + -4x = -2 + 7x Solving 9 + -4x = -2 + 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. 9 + -4x + -7x = -2 + 7x + -7x Combine like terms: -4x + -7x = -11x 9 + -11x = -2 + 7x + -7x Combine like terms: 7x + -7x = 0 9 + -11x = -2 + 0 9 + -11x = -2 Add '-9' to each side of the equation. 9 + -9 + -11x = -2 + -9 Combine like terms: 9 + -9 = 0 0 + -11x = -2 + -9 -11x = -2 + -9 Combine like terms: -2 + -9 = -11 -11x = -11 Divide each side by '-11'. x = 1 Simplifying x = 1
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