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Simplifying 1.4(1.5x) + 1.4(-2.2y) + (-4.5)(2.0x) + (-4.5)(1.5y) = 0 Remove parenthesis around (1.5x) 1.4 * 1.5x + 1.4(-2.2y) + (-4.5)(2.0x) + (-4.5)(1.5y) = 0 Multiply 1.4 * 1.5 2.1x + 1.4(-2.2y) + (-4.5)(2.0x) + (-4.5)(1.5y) = 0 Remove parenthesis around (-2.2y) 2.1x + 1.4 * -2.2y + (-4.5)(2.0x) + (-4.5)(1.5y) = 0 Multiply 1.4 * -2.2 2.1x + -3.08y + (-4.5)(2.0x) + (-4.5)(1.5y) = 0 Remove parenthesis around (2.0x) 2.1x + -3.08y + -4.5 * 2.0x + (-4.5)(1.5y) = 0 Multiply -4.5 * 2.0 2.1x + -3.08y + -9x + (-4.5)(1.5y) = 0 Remove parenthesis around (1.5y) 2.1x + -3.08y + -9x + -4.5 * 1.5y = 0 Multiply -4.5 * 1.5 2.1x + -3.08y + -9x + -6.75y = 0 Reorder the terms: 2.1x + -9x + -3.08y + -6.75y = 0 Combine like terms: 2.1x + -9x = -6.9x -6.9x + -3.08y + -6.75y = 0 Combine like terms: -3.08y + -6.75y = -9.83y -6.9x + -9.83y = 0 Solving -6.9x + -9.83y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9.83y' to each side of the equation. -6.9x + -9.83y + 9.83y = 0 + 9.83y Combine like terms: -9.83y + 9.83y = 0.00 -6.9x + 0.00 = 0 + 9.83y -6.9x = 0 + 9.83y Remove the zero: -6.9x = 9.83y Divide each side by '-6.9'. x = -1.424637681y Simplifying x = -1.424637681y
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