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Simplifying -1(7x + -10y) + -3(4x + 9y) = 0 (7x * -1 + -10y * -1) + -3(4x + 9y) = 0 (-7x + 10y) + -3(4x + 9y) = 0 -7x + 10y + (4x * -3 + 9y * -3) = 0 -7x + 10y + (-12x + -27y) = 0 Reorder the terms: -7x + -12x + 10y + -27y = 0 Combine like terms: -7x + -12x = -19x -19x + 10y + -27y = 0 Combine like terms: 10y + -27y = -17y -19x + -17y = 0 Solving -19x + -17y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17y' to each side of the equation. -19x + -17y + 17y = 0 + 17y Combine like terms: -17y + 17y = 0 -19x + 0 = 0 + 17y -19x = 0 + 17y Remove the zero: -19x = 17y Divide each side by '-19'. x = -0.8947368421y Simplifying x = -0.8947368421y
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