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Simplifying (3x + 18) + (5x + -42) = 0 Reorder the terms: (18 + 3x) + (5x + -42) = 0 Remove parenthesis around (18 + 3x) 18 + 3x + (5x + -42) = 0 Reorder the terms: 18 + 3x + (-42 + 5x) = 0 Remove parenthesis around (-42 + 5x) 18 + 3x + -42 + 5x = 0 Reorder the terms: 18 + -42 + 3x + 5x = 0 Combine like terms: 18 + -42 = -24 -24 + 3x + 5x = 0 Combine like terms: 3x + 5x = 8x -24 + 8x = 0 Solving -24 + 8x = 0 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 + 8x = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 8x = 0 + 24 8x = 0 + 24 Combine like terms: 0 + 24 = 24 8x = 24 Divide each side by '8'. x = 3 Simplifying x = 3
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