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Simplifying 1.6(1.5x + -2.8y) + -3.5(2.0x + 1.5y) = 0 (1.5x * 1.6 + -2.8y * 1.6) + -3.5(2.0x + 1.5y) = 0 (2.4x + -4.48y) + -3.5(2.0x + 1.5y) = 0 2.4x + -4.48y + (2.0x * -3.5 + 1.5y * -3.5) = 0 2.4x + -4.48y + (-7x + -5.25y) = 0 Reorder the terms: 2.4x + -7x + -4.48y + -5.25y = 0 Combine like terms: 2.4x + -7x = -4.6x -4.6x + -4.48y + -5.25y = 0 Combine like terms: -4.48y + -5.25y = -9.73y -4.6x + -9.73y = 0 Solving -4.6x + -9.73y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9.73y' to each side of the equation. -4.6x + -9.73y + 9.73y = 0 + 9.73y Combine like terms: -9.73y + 9.73y = 0.00 -4.6x + 0.00 = 0 + 9.73y -4.6x = 0 + 9.73y Remove the zero: -4.6x = 9.73y Divide each side by '-4.6'. x = -2.115217391y Simplifying x = -2.115217391y
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