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Simplifying 5x + -6(-3x + -10) = -78 Reorder the terms: 5x + -6(-10 + -3x) = -78 5x + (-10 * -6 + -3x * -6) = -78 5x + (60 + 18x) = -78 Reorder the terms: 60 + 5x + 18x = -78 Combine like terms: 5x + 18x = 23x 60 + 23x = -78 Solving 60 + 23x = -78 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + 23x = -78 + -60 Combine like terms: 60 + -60 = 0 0 + 23x = -78 + -60 23x = -78 + -60 Combine like terms: -78 + -60 = -138 23x = -138 Divide each side by '23'. x = -6 Simplifying x = -6
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