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Simplifying 2x + 5(2x + -6) = 102 Reorder the terms: 2x + 5(-6 + 2x) = 102 2x + (-6 * 5 + 2x * 5) = 102 2x + (-30 + 10x) = 102 Reorder the terms: -30 + 2x + 10x = 102 Combine like terms: 2x + 10x = 12x -30 + 12x = 102 Solving -30 + 12x = 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 + 12x = 102 + 30 Combine like terms: -30 + 30 = 0 0 + 12x = 102 + 30 12x = 102 + 30 Combine like terms: 102 + 30 = 132 12x = 132 Divide each side by '12'. x = 11 Simplifying x = 11
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