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Simplifying 1.6(2.5x + -2.8y) + -4.5(2.0x + 1.5y) = 0 (2.5x * 1.6 + -2.8y * 1.6) + -4.5(2.0x + 1.5y) = 0 (4x + -4.48y) + -4.5(2.0x + 1.5y) = 0 4x + -4.48y + (2.0x * -4.5 + 1.5y * -4.5) = 0 4x + -4.48y + (-9x + -6.75y) = 0 Reorder the terms: 4x + -9x + -4.48y + -6.75y = 0 Combine like terms: 4x + -9x = -5x -5x + -4.48y + -6.75y = 0 Combine like terms: -4.48y + -6.75y = -11.23y -5x + -11.23y = 0 Solving -5x + -11.23y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11.23y' to each side of the equation. -5x + -11.23y + 11.23y = 0 + 11.23y Combine like terms: -11.23y + 11.23y = 0.00 -5x + 0.00 = 0 + 11.23y -5x = 0 + 11.23y Remove the zero: -5x = 11.23y Divide each side by '-5'. x = -2.246y Simplifying x = -2.246y
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