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Simplifying 9x + 42 = 4x + 13 Reorder the terms: 42 + 9x = 4x + 13 Reorder the terms: 42 + 9x = 13 + 4x Solving 42 + 9x = 13 + 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 = 13 + 4x + -4x Combine like terms: 9x + -4x = 5x 42 + 5x = 13 + 4x + -4x Combine like terms: 4x + -4x = 0 42 + 5x = 13 + 0 42 + 5x = 13 Add '-42' to each side of the equation. 42 + -42 + 5x = 13 + -42 Combine like terms: 42 + -42 = 0 0 + 5x = 13 + -42 5x = 13 + -42 Combine like terms: 13 + -42 = -29 5x = -29 Divide each side by '5'. x = -5.8 Simplifying x = -5.8
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