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Simplifying 5(3 + 3X) + -3 = 102 (3 * 5 + 3X * 5) + -3 = 102 (15 + 15X) + -3 = 102 Reorder the terms: 15 + -3 + 15X = 102 Combine like terms: 15 + -3 = 12 12 + 15X = 102 Solving 12 + 15X = 102 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 15X = 102 + -12 Combine like terms: 12 + -12 = 0 0 + 15X = 102 + -12 15X = 102 + -12 Combine like terms: 102 + -12 = 90 15X = 90 Divide each side by '15'. X = 6 Simplifying X = 6
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