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Simplifying 102 = -6(2x + -5) Reorder the terms: 102 = -6(-5 + 2x) 102 = (-5 * -6 + 2x * -6) 102 = (30 + -12x) Solving 102 = 30 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 102 + 12x = 30 + -12x + 12x Combine like terms: -12x + 12x = 0 102 + 12x = 30 + 0 102 + 12x = 30 Add '-102' to each side of the equation. 102 + -102 + 12x = 30 + -102 Combine like terms: 102 + -102 = 0 0 + 12x = 30 + -102 12x = 30 + -102 Combine like terms: 30 + -102 = -72 12x = -72 Divide each side by '12'. x = -6 Simplifying x = -6
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