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Simplifying 42 + -4x = 5x + 20 Reorder the terms: 42 + -4x = 20 + 5x Solving 42 + -4x = 20 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 42 + -4x + -5x = 20 + 5x + -5x Combine like terms: -4x + -5x = -9x 42 + -9x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 42 + -9x = 20 + 0 42 + -9x = 20 Add '-42' to each side of the equation. 42 + -42 + -9x = 20 + -42 Combine like terms: 42 + -42 = 0 0 + -9x = 20 + -42 -9x = 20 + -42 Combine like terms: 20 + -42 = -22 -9x = -22 Divide each side by '-9'. x = 2.444444444 Simplifying x = 2.444444444
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