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Simplifying 42 + -5x = 4x + 22 Reorder the terms: 42 + -5x = 22 + 4x Solving 42 + -5x = 22 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 42 + -5x + -4x = 22 + 4x + -4x Combine like terms: -5x + -4x = -9x 42 + -9x = 22 + 4x + -4x Combine like terms: 4x + -4x = 0 42 + -9x = 22 + 0 42 + -9x = 22 Add '-42' to each side of the equation. 42 + -42 + -9x = 22 + -42 Combine like terms: 42 + -42 = 0 0 + -9x = 22 + -42 -9x = 22 + -42 Combine like terms: 22 + -42 = -20 -9x = -20 Divide each side by '-9'. x = 2.222222222 Simplifying x = 2.222222222
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