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Simplifying 6x + 2 + -3x + 2 = 9x + -12 Reorder the terms: 2 + 2 + 6x + -3x = 9x + -12 Combine like terms: 2 + 2 = 4 4 + 6x + -3x = 9x + -12 Combine like terms: 6x + -3x = 3x 4 + 3x = 9x + -12 Reorder the terms: 4 + 3x = -12 + 9x Solving 4 + 3x = -12 + 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. 4 + 3x + -9x = -12 + 9x + -9x Combine like terms: 3x + -9x = -6x 4 + -6x = -12 + 9x + -9x Combine like terms: 9x + -9x = 0 4 + -6x = -12 + 0 4 + -6x = -12 Add '-4' to each side of the equation. 4 + -4 + -6x = -12 + -4 Combine like terms: 4 + -4 = 0 0 + -6x = -12 + -4 -6x = -12 + -4 Combine like terms: -12 + -4 = -16 -6x = -16 Divide each side by '-6'. x = 2.666666667 Simplifying x = 2.666666667
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