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Simplifying -6x + -2(-6x + -15) = 102 Reorder the terms: -6x + -2(-15 + -6x) = 102 -6x + (-15 * -2 + -6x * -2) = 102 -6x + (30 + 12x) = 102 Reorder the terms: 30 + -6x + 12x = 102 Combine like terms: -6x + 12x = 6x 30 + 6x = 102 Solving 30 + 6x = 102 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 6x = 102 + -30 Combine like terms: 30 + -30 = 0 0 + 6x = 102 + -30 6x = 102 + -30 Combine like terms: 102 + -30 = 72 6x = 72 Divide each side by '6'. x = 12 Simplifying x = 12
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