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Simplifying 2x + 6(x + 5) = 102 Reorder the terms: 2x + 6(5 + x) = 102 2x + (5 * 6 + x * 6) = 102 2x + (30 + 6x) = 102 Reorder the terms: 30 + 2x + 6x = 102 Combine like terms: 2x + 6x = 8x 30 + 8x = 102 Solving 30 + 8x = 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 + 8x = 102 + -30 Combine like terms: 30 + -30 = 0 0 + 8x = 102 + -30 8x = 102 + -30 Combine like terms: 102 + -30 = 72 8x = 72 Divide each side by '8'. x = 9 Simplifying x = 9
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