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Simplifying 1.8(2.5x) + 1.8(-2.8y) + (-4.5)(2.0x) + (-4.5)(1.5y) = 0 Remove parenthesis around (2.5x) 1.8 * 2.5x + 1.8(-2.8y) + (-4.5)(2.0x) + (-4.5)(1.5y) = 0 Multiply 1.8 * 2.5 4.5x + 1.8(-2.8y) + (-4.5)(2.0x) + (-4.5)(1.5y) = 0 Remove parenthesis around (-2.8y) 4.5x + 1.8 * -2.8y + (-4.5)(2.0x) + (-4.5)(1.5y) = 0 Multiply 1.8 * -2.8 4.5x + -5.04y + (-4.5)(2.0x) + (-4.5)(1.5y) = 0 Remove parenthesis around (2.0x) 4.5x + -5.04y + -4.5 * 2.0x + (-4.5)(1.5y) = 0 Multiply -4.5 * 2.0 4.5x + -5.04y + -9x + (-4.5)(1.5y) = 0 Remove parenthesis around (1.5y) 4.5x + -5.04y + -9x + -4.5 * 1.5y = 0 Multiply -4.5 * 1.5 4.5x + -5.04y + -9x + -6.75y = 0 Reorder the terms: 4.5x + -9x + -5.04y + -6.75y = 0 Combine like terms: 4.5x + -9x = -4.5x -4.5x + -5.04y + -6.75y = 0 Combine like terms: -5.04y + -6.75y = -11.79y -4.5x + -11.79y = 0 Solving -4.5x + -11.79y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11.79y' to each side of the equation. -4.5x + -11.79y + 11.79y = 0 + 11.79y Combine like terms: -11.79y + 11.79y = 0.00 -4.5x + 0.00 = 0 + 11.79y -4.5x = 0 + 11.79y Remove the zero: -4.5x = 11.79y Divide each side by '-4.5'. x = -2.62y Simplifying x = -2.62y
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