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Simplifying 5x + 2y + -1x + 8y + 2 = 0 Reorder the terms: 2 + 5x + -1x + 2y + 8y = 0 Combine like terms: 5x + -1x = 4x 2 + 4x + 2y + 8y = 0 Combine like terms: 2y + 8y = 10y 2 + 4x + 10y = 0 Solving 2 + 4x + 10y = 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 + 4x + -2 + 10y = 0 + -2 Reorder the terms: 2 + -2 + 4x + 10y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 4x + 10y = 0 + -2 4x + 10y = 0 + -2 Combine like terms: 0 + -2 = -2 4x + 10y = -2 Add '-10y' to each side of the equation. 4x + 10y + -10y = -2 + -10y Combine like terms: 10y + -10y = 0 4x + 0 = -2 + -10y 4x = -2 + -10y Divide each side by '4'. x = -0.5 + -2.5y Simplifying x = -0.5 + -2.5y
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