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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 = -13y 8x + -13y = 0 Solving 8x + -13y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13y' to each side of the equation. 8x + -13y + 13y = 0 + 13y Combine like terms: -13y + 13y = 0 8x + 0 = 0 + 13y 8x = 0 + 13y Remove the zero: 8x = 13y Divide each side by '8'. x = 1.625y Simplifying x = 1.625y
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