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Simplifying 1.2(2.5x + -2.6y) + -3.5(2.0x + 1.5y) = 0 (2.5x * 1.2 + -2.6y * 1.2) + -3.5(2.0x + 1.5y) = 0 (3x + -3.12y) + -3.5(2.0x + 1.5y) = 0 3x + -3.12y + (2.0x * -3.5 + 1.5y * -3.5) = 0 3x + -3.12y + (-7x + -5.25y) = 0 Reorder the terms: 3x + -7x + -3.12y + -5.25y = 0 Combine like terms: 3x + -7x = -4x -4x + -3.12y + -5.25y = 0 Combine like terms: -3.12y + -5.25y = -8.37y -4x + -8.37y = 0 Solving -4x + -8.37y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8.37y' to each side of the equation. -4x + -8.37y + 8.37y = 0 + 8.37y Combine like terms: -8.37y + 8.37y = 0.00 -4x + 0.00 = 0 + 8.37y -4x = 0 + 8.37y Remove the zero: -4x = 8.37y Divide each side by '-4'. x = -2.0925y Simplifying x = -2.0925y
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