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Simplifying 5x + 24(x + -3) = 102 Reorder the terms: 5x + 24(-3 + x) = 102 5x + (-3 * 24 + x * 24) = 102 5x + (-72 + 24x) = 102 Reorder the terms: -72 + 5x + 24x = 102 Combine like terms: 5x + 24x = 29x -72 + 29x = 102 Solving -72 + 29x = 102 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '72' to each side of the equation. -72 + 72 + 29x = 102 + 72 Combine like terms: -72 + 72 = 0 0 + 29x = 102 + 72 29x = 102 + 72 Combine like terms: 102 + 72 = 174 29x = 174 Divide each side by '29'. x = 6 Simplifying x = 6
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