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Simplifying 4x + 3y + -1(-2 + 5y) = 0 4x + 3y + (-2 * -1 + 5y * -1) = 0 4x + 3y + (2 + -5y) = 0 Reorder the terms: 2 + 4x + 3y + -5y = 0 Combine like terms: 3y + -5y = -2y 2 + 4x + -2y = 0 Solving 2 + 4x + -2y = 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 + -2y = 0 + -2 Reorder the terms: 2 + -2 + 4x + -2y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 4x + -2y = 0 + -2 4x + -2y = 0 + -2 Combine like terms: 0 + -2 = -2 4x + -2y = -2 Add '2y' to each side of the equation. 4x + -2y + 2y = -2 + 2y Combine like terms: -2y + 2y = 0 4x + 0 = -2 + 2y 4x = -2 + 2y Divide each side by '4'. x = -0.5 + 0.5y Simplifying x = -0.5 + 0.5y
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