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Simplifying 6(3x + -7) = 102 Reorder the terms: 6(-7 + 3x) = 102 (-7 * 6 + 3x * 6) = 102 (-42 + 18x) = 102 Solving -42 + 18x = 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 + 18x = 102 + 42 Combine like terms: -42 + 42 = 0 0 + 18x = 102 + 42 18x = 102 + 42 Combine like terms: 102 + 42 = 144 18x = 144 Divide each side by '18'. x = 8 Simplifying x = 8
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