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Simplifying 3x + -6(-4x + -17) = -114 Reorder the terms: 3x + -6(-17 + -4x) = -114 3x + (-17 * -6 + -4x * -6) = -114 3x + (102 + 24x) = -114 Reorder the terms: 102 + 3x + 24x = -114 Combine like terms: 3x + 24x = 27x 102 + 27x = -114 Solving 102 + 27x = -114 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-102' to each side of the equation. 102 + -102 + 27x = -114 + -102 Combine like terms: 102 + -102 = 0 0 + 27x = -114 + -102 27x = -114 + -102 Combine like terms: -114 + -102 = -216 27x = -216 Divide each side by '27'. x = -8 Simplifying x = -8
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