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Simplifying 6x + 3(2x + -14) = 102 Reorder the terms: 6x + 3(-14 + 2x) = 102 6x + (-14 * 3 + 2x * 3) = 102 6x + (-42 + 6x) = 102 Reorder the terms: -42 + 6x + 6x = 102 Combine like terms: 6x + 6x = 12x -42 + 12x = 102 Solving -42 + 12x = 102 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 12x = 102 + 42 Combine like terms: -42 + 42 = 0 0 + 12x = 102 + 42 12x = 102 + 42 Combine like terms: 102 + 42 = 144 12x = 144 Divide each side by '12'. x = 12 Simplifying x = 12
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