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