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Simplifying 2kx + -5y + 2x + 3 = 0 Reorder the terms: 3 + 2kx + 2x + -5y = 0 Solving 3 + 2kx + 2x + -5y = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 2kx + 2x + -3 + -5y = 0 + -3 Reorder the terms: 3 + -3 + 2kx + 2x + -5y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2kx + 2x + -5y = 0 + -3 2kx + 2x + -5y = 0 + -3 Combine like terms: 0 + -3 = -3 2kx + 2x + -5y = -3 Add '-2x' to each side of the equation. 2kx + 2x + -2x + -5y = -3 + -2x Combine like terms: 2x + -2x = 0 2kx + 0 + -5y = -3 + -2x 2kx + -5y = -3 + -2x Add '5y' to each side of the equation. 2kx + -5y + 5y = -3 + -2x + 5y Combine like terms: -5y + 5y = 0 2kx + 0 = -3 + -2x + 5y 2kx = -3 + -2x + 5y Divide each side by '2x'. k = -1.5x-1 + -1 + 2.5x-1y Simplifying k = -1.5x-1 + -1 + 2.5x-1y Reorder the terms: k = -1 + -1.5x-1 + 2.5x-1y
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