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Simplifying -5(3x + 2y) + -1(3x + 2y) = 0 (3x * -5 + 2y * -5) + -1(3x + 2y) = 0 (-15x + -10y) + -1(3x + 2y) = 0 -15x + -10y + (3x * -1 + 2y * -1) = 0 -15x + -10y + (-3x + -2y) = 0 Reorder the terms: -15x + -3x + -10y + -2y = 0 Combine like terms: -15x + -3x = -18x -18x + -10y + -2y = 0 Combine like terms: -10y + -2y = -12y -18x + -12y = 0 Solving -18x + -12y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12y' to each side of the equation. -18x + -12y + 12y = 0 + 12y Combine like terms: -12y + 12y = 0 -18x + 0 = 0 + 12y -18x = 0 + 12y Remove the zero: -18x = 12y Divide each side by '-18'. x = -0.6666666667y Simplifying x = -0.6666666667y
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