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Simplifying 6x + -24y + 42 = 0 Reorder the terms: 42 + 6x + -24y = 0 Solving 42 + 6x + -24y = 0 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 + 6x + -42 + -24y = 0 + -42 Reorder the terms: 42 + -42 + 6x + -24y = 0 + -42 Combine like terms: 42 + -42 = 0 0 + 6x + -24y = 0 + -42 6x + -24y = 0 + -42 Combine like terms: 0 + -42 = -42 6x + -24y = -42 Add '24y' to each side of the equation. 6x + -24y + 24y = -42 + 24y Combine like terms: -24y + 24y = 0 6x + 0 = -42 + 24y 6x = -42 + 24y Divide each side by '6'. x = -7 + 4y Simplifying x = -7 + 4y
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