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Simplifying 3x + 5(-6x + 13) = -97 Reorder the terms: 3x + 5(13 + -6x) = -97 3x + (13 * 5 + -6x * 5) = -97 3x + (65 + -30x) = -97 Reorder the terms: 65 + 3x + -30x = -97 Combine like terms: 3x + -30x = -27x 65 + -27x = -97 Solving 65 + -27x = -97 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-65' to each side of the equation. 65 + -65 + -27x = -97 + -65 Combine like terms: 65 + -65 = 0 0 + -27x = -97 + -65 -27x = -97 + -65 Combine like terms: -97 + -65 = -162 -27x = -162 Divide each side by '-27'. x = 6 Simplifying x = 6
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