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Simplifying -6x + 4 = 9 + -3x Reorder the terms: 4 + -6x = 9 + -3x Solving 4 + -6x = 9 + -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 + -6x + 3x = 9 + -3x + 3x Combine like terms: -6x + 3x = -3x 4 + -3x = 9 + -3x + 3x Combine like terms: -3x + 3x = 0 4 + -3x = 9 + 0 4 + -3x = 9 Add '-4' to each side of the equation. 4 + -4 + -3x = 9 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = 9 + -4 -3x = 9 + -4 Combine like terms: 9 + -4 = 5 -3x = 5 Divide each side by '-3'. x = -1.666666667 Simplifying x = -1.666666667
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