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Simplifying 6x + 3(4x + -8) = 102 Reorder the terms: 6x + 3(-8 + 4x) = 102 6x + (-8 * 3 + 4x * 3) = 102 6x + (-24 + 12x) = 102 Reorder the terms: -24 + 6x + 12x = 102 Combine like terms: 6x + 12x = 18x -24 + 18x = 102 Solving -24 + 18x = 102 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 18x = 102 + 24 Combine like terms: -24 + 24 = 0 0 + 18x = 102 + 24 18x = 102 + 24 Combine like terms: 102 + 24 = 126 18x = 126 Divide each side by '18'. x = 7 Simplifying x = 7
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