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Simplifying -9x + 6 = 3x + 78 Reorder the terms: 6 + -9x = 3x + 78 Reorder the terms: 6 + -9x = 78 + 3x Solving 6 + -9x = 78 + 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. 6 + -9x + -3x = 78 + 3x + -3x Combine like terms: -9x + -3x = -12x 6 + -12x = 78 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + -12x = 78 + 0 6 + -12x = 78 Add '-6' to each side of the equation. 6 + -6 + -12x = 78 + -6 Combine like terms: 6 + -6 = 0 0 + -12x = 78 + -6 -12x = 78 + -6 Combine like terms: 78 + -6 = 72 -12x = 72 Divide each side by '-12'. x = -6 Simplifying x = -6
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