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Simplifying 2(2.5x + -4y + 0.25) = 0 Reorder the terms: 2(0.25 + 2.5x + -4y) = 0 (0.25 * 2 + 2.5x * 2 + -4y * 2) = 0 (0.5 + 5x + -8y) = 0 Solving 0.5 + 5x + -8y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + 5x + -0.5 + -8y = 0 + -0.5 Reorder the terms: 0.5 + -0.5 + 5x + -8y = 0 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 5x + -8y = 0 + -0.5 5x + -8y = 0 + -0.5 Combine like terms: 0 + -0.5 = -0.5 5x + -8y = -0.5 Add '8y' to each side of the equation. 5x + -8y + 8y = -0.5 + 8y Combine like terms: -8y + 8y = 0 5x + 0 = -0.5 + 8y 5x = -0.5 + 8y Divide each side by '5'. x = -0.1 + 1.6y Simplifying x = -0.1 + 1.6y
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