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Simplifying 3x + 6(-5x + 13) = -111 Reorder the terms: 3x + 6(13 + -5x) = -111 3x + (13 * 6 + -5x * 6) = -111 3x + (78 + -30x) = -111 Reorder the terms: 78 + 3x + -30x = -111 Combine like terms: 3x + -30x = -27x 78 + -27x = -111 Solving 78 + -27x = -111 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 + -27x = -111 + -78 Combine like terms: 78 + -78 = 0 0 + -27x = -111 + -78 -27x = -111 + -78 Combine like terms: -111 + -78 = -189 -27x = -189 Divide each side by '-27'. x = 7 Simplifying x = 7
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