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Simplifying 78 + -2x = 3x + 9 Reorder the terms: 78 + -2x = 9 + 3x Solving 78 + -2x = 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. 78 + -2x + -3x = 9 + 3x + -3x Combine like terms: -2x + -3x = -5x 78 + -5x = 9 + 3x + -3x Combine like terms: 3x + -3x = 0 78 + -5x = 9 + 0 78 + -5x = 9 Add '-78' to each side of the equation. 78 + -78 + -5x = 9 + -78 Combine like terms: 78 + -78 = 0 0 + -5x = 9 + -78 -5x = 9 + -78 Combine like terms: 9 + -78 = -69 -5x = -69 Divide each side by '-5'. x = 13.8 Simplifying x = 13.8
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