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Simplifying 3x + 7 + -6x + 7 = 3x + -2 Reorder the terms: 7 + 7 + 3x + -6x = 3x + -2 Combine like terms: 7 + 7 = 14 14 + 3x + -6x = 3x + -2 Combine like terms: 3x + -6x = -3x 14 + -3x = 3x + -2 Reorder the terms: 14 + -3x = -2 + 3x Solving 14 + -3x = -2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 14 + -3x + -3x = -2 + 3x + -3x Combine like terms: -3x + -3x = -6x 14 + -6x = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 14 + -6x = -2 + 0 14 + -6x = -2 Add '-14' to each side of the equation. 14 + -14 + -6x = -2 + -14 Combine like terms: 14 + -14 = 0 0 + -6x = -2 + -14 -6x = -2 + -14 Combine like terms: -2 + -14 = -16 -6x = -16 Divide each side by '-6'. x = 2.666666667 Simplifying x = 2.666666667
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