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Simplifying 5x + 6y + 42 = 10 Reorder the terms: 42 + 5x + 6y = 10 Solving 42 + 5x + 6y = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + 5x + -42 + 6y = 10 + -42 Reorder the terms: 42 + -42 + 5x + 6y = 10 + -42 Combine like terms: 42 + -42 = 0 0 + 5x + 6y = 10 + -42 5x + 6y = 10 + -42 Combine like terms: 10 + -42 = -32 5x + 6y = -32 Add '-6y' to each side of the equation. 5x + 6y + -6y = -32 + -6y Combine like terms: 6y + -6y = 0 5x + 0 = -32 + -6y 5x = -32 + -6y Divide each side by '5'. x = -6.4 + -1.2y Simplifying x = -6.4 + -1.2y
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