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Simplifying 42 + -5x = 4x + 23 Reorder the terms: 42 + -5x = 23 + 4x Solving 42 + -5x = 23 + 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 = 23 + 4x + -4x Combine like terms: -5x + -4x = -9x 42 + -9x = 23 + 4x + -4x Combine like terms: 4x + -4x = 0 42 + -9x = 23 + 0 42 + -9x = 23 Add '-42' to each side of the equation. 42 + -42 + -9x = 23 + -42 Combine like terms: 42 + -42 = 0 0 + -9x = 23 + -42 -9x = 23 + -42 Combine like terms: 23 + -42 = -19 -9x = -19 Divide each side by '-9'. x = 2.111111111 Simplifying x = 2.111111111
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