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Simplifying 1.4(2.5x + -2.8y) + -3.5(2.0x + 1.5y) = 0 (2.5x * 1.4 + -2.8y * 1.4) + -3.5(2.0x + 1.5y) = 0 (3.5x + -3.92y) + -3.5(2.0x + 1.5y) = 0 3.5x + -3.92y + (2.0x * -3.5 + 1.5y * -3.5) = 0 3.5x + -3.92y + (-7x + -5.25y) = 0 Reorder the terms: 3.5x + -7x + -3.92y + -5.25y = 0 Combine like terms: 3.5x + -7x = -3.5x -3.5x + -3.92y + -5.25y = 0 Combine like terms: -3.92y + -5.25y = -9.17y -3.5x + -9.17y = 0 Solving -3.5x + -9.17y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9.17y' to each side of the equation. -3.5x + -9.17y + 9.17y = 0 + 9.17y Combine like terms: -9.17y + 9.17y = 0.00 -3.5x + 0.00 = 0 + 9.17y -3.5x = 0 + 9.17y Remove the zero: -3.5x = 9.17y Divide each side by '-3.5'. x = -2.62y Simplifying x = -2.62y
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