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Simplifying 5x + 13y + 18 + 3x + -2y + -20 = 0 Reorder the terms: 18 + -20 + 5x + 3x + 13y + -2y = 0 Combine like terms: 18 + -20 = -2 -2 + 5x + 3x + 13y + -2y = 0 Combine like terms: 5x + 3x = 8x -2 + 8x + 13y + -2y = 0 Combine like terms: 13y + -2y = 11y -2 + 8x + 11y = 0 Solving -2 + 8x + 11y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 8x + 2 + 11y = 0 + 2 Reorder the terms: -2 + 2 + 8x + 11y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 8x + 11y = 0 + 2 8x + 11y = 0 + 2 Combine like terms: 0 + 2 = 2 8x + 11y = 2 Add '-11y' to each side of the equation. 8x + 11y + -11y = 2 + -11y Combine like terms: 11y + -11y = 0 8x + 0 = 2 + -11y 8x = 2 + -11y Divide each side by '8'. x = 0.25 + -1.375y Simplifying x = 0.25 + -1.375y
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