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Simplifying 3x + 4 = 9x + -2 + 3x + -6 Reorder the terms: 4 + 3x = 9x + -2 + 3x + -6 Reorder the terms: 4 + 3x = -2 + -6 + 9x + 3x Combine like terms: -2 + -6 = -8 4 + 3x = -8 + 9x + 3x Combine like terms: 9x + 3x = 12x 4 + 3x = -8 + 12x Solving 4 + 3x = -8 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 4 + 3x + -12x = -8 + 12x + -12x Combine like terms: 3x + -12x = -9x 4 + -9x = -8 + 12x + -12x Combine like terms: 12x + -12x = 0 4 + -9x = -8 + 0 4 + -9x = -8 Add '-4' to each side of the equation. 4 + -4 + -9x = -8 + -4 Combine like terms: 4 + -4 = 0 0 + -9x = -8 + -4 -9x = -8 + -4 Combine like terms: -8 + -4 = -12 -9x = -12 Divide each side by '-9'. x = 1.333333333 Simplifying x = 1.333333333
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