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Simplifying 3x + 3(5x + -2) = 102 Reorder the terms: 3x + 3(-2 + 5x) = 102 3x + (-2 * 3 + 5x * 3) = 102 3x + (-6 + 15x) = 102 Reorder the terms: -6 + 3x + 15x = 102 Combine like terms: 3x + 15x = 18x -6 + 18x = 102 Solving -6 + 18x = 102 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 18x = 102 + 6 Combine like terms: -6 + 6 = 0 0 + 18x = 102 + 6 18x = 102 + 6 Combine like terms: 102 + 6 = 108 18x = 108 Divide each side by '18'. x = 6 Simplifying x = 6
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