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Simplifying 5x + -2y + -1(2y + -3x + -4) = 0 Reorder the terms: 5x + -2y + -1(-4 + -3x + 2y) = 0 5x + -2y + (-4 * -1 + -3x * -1 + 2y * -1) = 0 5x + -2y + (4 + 3x + -2y) = 0 Reorder the terms: 4 + 5x + 3x + -2y + -2y = 0 Combine like terms: 5x + 3x = 8x 4 + 8x + -2y + -2y = 0 Combine like terms: -2y + -2y = -4y 4 + 8x + -4y = 0 Solving 4 + 8x + -4y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 8x + -4 + -4y = 0 + -4 Reorder the terms: 4 + -4 + 8x + -4y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 8x + -4y = 0 + -4 8x + -4y = 0 + -4 Combine like terms: 0 + -4 = -4 8x + -4y = -4 Add '4y' to each side of the equation. 8x + -4y + 4y = -4 + 4y Combine like terms: -4y + 4y = 0 8x + 0 = -4 + 4y 8x = -4 + 4y Divide each side by '8'. x = -0.5 + 0.5y Simplifying x = -0.5 + 0.5y
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