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Simplifying 1.4(3.5x) + 1.4(-2.2y) + (-3.5)(2.0x) + (-3.5)(1.5y) = 0 Remove parenthesis around (3.5x) 1.4 * 3.5x + 1.4(-2.2y) + (-3.5)(2.0x) + (-3.5)(1.5y) = 0 Multiply 1.4 * 3.5 4.9x + 1.4(-2.2y) + (-3.5)(2.0x) + (-3.5)(1.5y) = 0 Remove parenthesis around (-2.2y) 4.9x + 1.4 * -2.2y + (-3.5)(2.0x) + (-3.5)(1.5y) = 0 Multiply 1.4 * -2.2 4.9x + -3.08y + (-3.5)(2.0x) + (-3.5)(1.5y) = 0 Remove parenthesis around (2.0x) 4.9x + -3.08y + -3.5 * 2.0x + (-3.5)(1.5y) = 0 Multiply -3.5 * 2.0 4.9x + -3.08y + -7x + (-3.5)(1.5y) = 0 Remove parenthesis around (1.5y) 4.9x + -3.08y + -7x + -3.5 * 1.5y = 0 Multiply -3.5 * 1.5 4.9x + -3.08y + -7x + -5.25y = 0 Reorder the terms: 4.9x + -7x + -3.08y + -5.25y = 0 Combine like terms: 4.9x + -7x = -2.1x -2.1x + -3.08y + -5.25y = 0 Combine like terms: -3.08y + -5.25y = -8.33y -2.1x + -8.33y = 0 Solving -2.1x + -8.33y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8.33y' to each side of the equation. -2.1x + -8.33y + 8.33y = 0 + 8.33y Combine like terms: -8.33y + 8.33y = 0.00 -2.1x + 0.00 = 0 + 8.33y -2.1x = 0 + 8.33y Remove the zero: -2.1x = 8.33y Divide each side by '-2.1'. x = -3.966666667y Simplifying x = -3.966666667y
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