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Simplifying 78 = 5x + -6 + 6x + -15 Reorder the terms: 78 = -6 + -15 + 5x + 6x Combine like terms: -6 + -15 = -21 78 = -21 + 5x + 6x Combine like terms: 5x + 6x = 11x 78 = -21 + 11x Solving 78 = -21 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 78 + -11x = -21 + 11x + -11x Combine like terms: 11x + -11x = 0 78 + -11x = -21 + 0 78 + -11x = -21 Add '-78' to each side of the equation. 78 + -78 + -11x = -21 + -78 Combine like terms: 78 + -78 = 0 0 + -11x = -21 + -78 -11x = -21 + -78 Combine like terms: -21 + -78 = -99 -11x = -99 Divide each side by '-11'. x = 9 Simplifying x = 9
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