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Simplifying 6x + 6(x + -5) = 102 Reorder the terms: 6x + 6(-5 + x) = 102 6x + (-5 * 6 + x * 6) = 102 6x + (-30 + 6x) = 102 Reorder the terms: -30 + 6x + 6x = 102 Combine like terms: 6x + 6x = 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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