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Simplifying 2x + -3(y + -2x) + (-5)(-2y) = 0 Reorder the terms: 2x + -3(-2x + y) + (-5)(-2y) = 0 2x + (-2x * -3 + y * -3) + (-5)(-2y) = 0 2x + (6x + -3y) + (-5)(-2y) = 0 Remove parenthesis around (-2y) 2x + 6x + -3y + -5 * -2y = 0 Multiply -5 * -2 2x + 6x + -3y + 10y = 0 Combine like terms: 2x + 6x = 8x 8x + -3y + 10y = 0 Combine like terms: -3y + 10y = 7y 8x + 7y = 0 Solving 8x + 7y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7y' to each side of the equation. 8x + 7y + -7y = 0 + -7y Combine like terms: 7y + -7y = 0 8x + 0 = 0 + -7y 8x = 0 + -7y Remove the zero: 8x = -7y Divide each side by '8'. x = -0.875y Simplifying x = -0.875y
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