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Simplifying 1.8(3.5x + -2.2y) + -3.5(2.0x + 1.5y) = 0 (3.5x * 1.8 + -2.2y * 1.8) + -3.5(2.0x + 1.5y) = 0 (6.3x + -3.96y) + -3.5(2.0x + 1.5y) = 0 6.3x + -3.96y + (2.0x * -3.5 + 1.5y * -3.5) = 0 6.3x + -3.96y + (-7x + -5.25y) = 0 Reorder the terms: 6.3x + -7x + -3.96y + -5.25y = 0 Combine like terms: 6.3x + -7x = -0.7x -0.7x + -3.96y + -5.25y = 0 Combine like terms: -3.96y + -5.25y = -9.21y -0.7x + -9.21y = 0 Solving -0.7x + -9.21y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9.21y' to each side of the equation. -0.7x + -9.21y + 9.21y = 0 + 9.21y Combine like terms: -9.21y + 9.21y = 0.00 -0.7x + 0.00 = 0 + 9.21y -0.7x = 0 + 9.21y Remove the zero: -0.7x = 9.21y Divide each side by '-0.7'. x = -13.15714286y Simplifying x = -13.15714286y
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