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Simplifying (6x + -5y + 4) + 2(-2x + 3y + -2) = 0 Reorder the terms: (4 + 6x + -5y) + 2(-2x + 3y + -2) = 0 Remove parenthesis around (4 + 6x + -5y) 4 + 6x + -5y + 2(-2x + 3y + -2) = 0 Reorder the terms: 4 + 6x + -5y + 2(-2 + -2x + 3y) = 0 4 + 6x + -5y + (-2 * 2 + -2x * 2 + 3y * 2) = 0 4 + 6x + -5y + (-4 + -4x + 6y) = 0 Reorder the terms: 4 + -4 + 6x + -4x + -5y + 6y = 0 Combine like terms: 4 + -4 = 0 0 + 6x + -4x + -5y + 6y = 0 6x + -4x + -5y + 6y = 0 Combine like terms: 6x + -4x = 2x 2x + -5y + 6y = 0 Combine like terms: -5y + 6y = 1y 2x + 1y = 0 Solving 2x + 1y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. 2x + 1y + -1y = 0 + -1y Combine like terms: 1y + -1y = 0 2x + 0 = 0 + -1y 2x = 0 + -1y Remove the zero: 2x = -1y Divide each side by '2'. x = -0.5y Simplifying x = -0.5y
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