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Simplifying 9x + -42 = 4x + 43 Reorder the terms: -42 + 9x = 4x + 43 Reorder the terms: -42 + 9x = 43 + 4x Solving -42 + 9x = 43 + 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 + 9x + -4x = 43 + 4x + -4x Combine like terms: 9x + -4x = 5x -42 + 5x = 43 + 4x + -4x Combine like terms: 4x + -4x = 0 -42 + 5x = 43 + 0 -42 + 5x = 43 Add '42' to each side of the equation. -42 + 42 + 5x = 43 + 42 Combine like terms: -42 + 42 = 0 0 + 5x = 43 + 42 5x = 43 + 42 Combine like terms: 43 + 42 = 85 5x = 85 Divide each side by '5'. x = 17 Simplifying x = 17
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