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Simplifying 4 + 6x + -9x = 3x + 8 Combine like terms: 6x + -9x = -3x 4 + -3x = 3x + 8 Reorder the terms: 4 + -3x = 8 + 3x Solving 4 + -3x = 8 + 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. 4 + -3x + -3x = 8 + 3x + -3x Combine like terms: -3x + -3x = -6x 4 + -6x = 8 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + -6x = 8 + 0 4 + -6x = 8 Add '-4' to each side of the equation. 4 + -4 + -6x = 8 + -4 Combine like terms: 4 + -4 = 0 0 + -6x = 8 + -4 -6x = 8 + -4 Combine like terms: 8 + -4 = 4 -6x = 4 Divide each side by '-6'. x = -0.6666666667 Simplifying x = -0.6666666667
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