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Simplifying 1.2(3.5x + -2.2y) + -4.5(2.0x + 1.5y) = 0 (3.5x * 1.2 + -2.2y * 1.2) + -4.5(2.0x + 1.5y) = 0 (4.2x + -2.64y) + -4.5(2.0x + 1.5y) = 0 4.2x + -2.64y + (2.0x * -4.5 + 1.5y * -4.5) = 0 4.2x + -2.64y + (-9x + -6.75y) = 0 Reorder the terms: 4.2x + -9x + -2.64y + -6.75y = 0 Combine like terms: 4.2x + -9x = -4.8x -4.8x + -2.64y + -6.75y = 0 Combine like terms: -2.64y + -6.75y = -9.39y -4.8x + -9.39y = 0 Solving -4.8x + -9.39y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9.39y' to each side of the equation. -4.8x + -9.39y + 9.39y = 0 + 9.39y Combine like terms: -9.39y + 9.39y = 0.00 -4.8x + 0.00 = 0 + 9.39y -4.8x = 0 + 9.39y Remove the zero: -4.8x = 9.39y Divide each side by '-4.8'. x = -1.95625y Simplifying x = -1.95625y
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