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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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