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Simplifying 78(-6x + 14) = 0 Reorder the terms: 78(14 + -6x) = 0 (14 * 78 + -6x * 78) = 0 (1092 + -468x) = 0 Solving 1092 + -468x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1092' to each side of the equation. 1092 + -1092 + -468x = 0 + -1092 Combine like terms: 1092 + -1092 = 0 0 + -468x = 0 + -1092 -468x = 0 + -1092 Combine like terms: 0 + -1092 = -1092 -468x = -1092 Divide each side by '-468'. x = 2.333333333 Simplifying x = 2.333333333
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