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Simplifying 3x + -6(-2x + -8) = -117 Reorder the terms: 3x + -6(-8 + -2x) = -117 3x + (-8 * -6 + -2x * -6) = -117 3x + (48 + 12x) = -117 Reorder the terms: 48 + 3x + 12x = -117 Combine like terms: 3x + 12x = 15x 48 + 15x = -117 Solving 48 + 15x = -117 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + 15x = -117 + -48 Combine like terms: 48 + -48 = 0 0 + 15x = -117 + -48 15x = -117 + -48 Combine like terms: -117 + -48 = -165 15x = -165 Divide each side by '15'. x = -11 Simplifying x = -11
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