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Simplifying 18 + -3x + -38 = 21x + -20 + 24x Reorder the terms: 18 + -38 + -3x = 21x + -20 + 24x Combine like terms: 18 + -38 = -20 -20 + -3x = 21x + -20 + 24x Reorder the terms: -20 + -3x = -20 + 21x + 24x Combine like terms: 21x + 24x = 45x -20 + -3x = -20 + 45x Add '20' to each side of the equation. -20 + 20 + -3x = -20 + 20 + 45x Combine like terms: -20 + 20 = 0 0 + -3x = -20 + 20 + 45x -3x = -20 + 20 + 45x Combine like terms: -20 + 20 = 0 -3x = 0 + 45x -3x = 45x Solving -3x = 45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45x' to each side of the equation. -3x + -45x = 45x + -45x Combine like terms: -3x + -45x = -48x -48x = 45x + -45x Combine like terms: 45x + -45x = 0 -48x = 0 Divide each side by '-48'. x = 0 Simplifying x = 0
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