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Simplifying 5x + -6(-3x + -13) = -152 Reorder the terms: 5x + -6(-13 + -3x) = -152 5x + (-13 * -6 + -3x * -6) = -152 5x + (78 + 18x) = -152 Reorder the terms: 78 + 5x + 18x = -152 Combine like terms: 5x + 18x = 23x 78 + 23x = -152 Solving 78 + 23x = -152 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-78' to each side of the equation. 78 + -78 + 23x = -152 + -78 Combine like terms: 78 + -78 = 0 0 + 23x = -152 + -78 23x = -152 + -78 Combine like terms: -152 + -78 = -230 23x = -230 Divide each side by '23'. x = -10 Simplifying x = -10
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