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Simplifying 5x + -6x + -42 = 20x Reorder the terms: -42 + 5x + -6x = 20x Combine like terms: 5x + -6x = -1x -42 + -1x = 20x Solving -42 + -1x = 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -42 + -1x + -20x = 20x + -20x Combine like terms: -1x + -20x = -21x -42 + -21x = 20x + -20x Combine like terms: 20x + -20x = 0 -42 + -21x = 0 Add '42' to each side of the equation. -42 + 42 + -21x = 0 + 42 Combine like terms: -42 + 42 = 0 0 + -21x = 0 + 42 -21x = 0 + 42 Combine like terms: 0 + 42 = 42 -21x = 42 Divide each side by '-21'. x = -2 Simplifying x = -2
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