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Simplifying 5(x + -2y) + -3(2x + -1y) = 0 (x * 5 + -2y * 5) + -3(2x + -1y) = 0 (5x + -10y) + -3(2x + -1y) = 0 5x + -10y + (2x * -3 + -1y * -3) = 0 5x + -10y + (-6x + 3y) = 0 Reorder the terms: 5x + -6x + -10y + 3y = 0 Combine like terms: 5x + -6x = -1x -1x + -10y + 3y = 0 Combine like terms: -10y + 3y = -7y -1x + -7y = 0 Solving -1x + -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. -1x + -7y + 7y = 0 + 7y Combine like terms: -7y + 7y = 0 -1x + 0 = 0 + 7y -1x = 0 + 7y Remove the zero: -1x = 7y Divide each side by '-1'. x = -7y Simplifying x = -7y
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