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Simplifying 1.2(2.5x) + 1.2(2.2y) + (-3.5)(2.0x) + (-3.5)(1.5y) = 0 Remove parenthesis around (2.5x) 1.2 * 2.5x + 1.2(2.2y) + (-3.5)(2.0x) + (-3.5)(1.5y) = 0 Multiply 1.2 * 2.5 3x + 1.2(2.2y) + (-3.5)(2.0x) + (-3.5)(1.5y) = 0 Remove parenthesis around (2.2y) 3x + 1.2 * 2.2y + (-3.5)(2.0x) + (-3.5)(1.5y) = 0 Multiply 1.2 * 2.2 3x + 2.64y + (-3.5)(2.0x) + (-3.5)(1.5y) = 0 Remove parenthesis around (2.0x) 3x + 2.64y + -3.5 * 2.0x + (-3.5)(1.5y) = 0 Multiply -3.5 * 2.0 3x + 2.64y + -7x + (-3.5)(1.5y) = 0 Remove parenthesis around (1.5y) 3x + 2.64y + -7x + -3.5 * 1.5y = 0 Multiply -3.5 * 1.5 3x + 2.64y + -7x + -5.25y = 0 Reorder the terms: 3x + -7x + 2.64y + -5.25y = 0 Combine like terms: 3x + -7x = -4x -4x + 2.64y + -5.25y = 0 Combine like terms: 2.64y + -5.25y = -2.61y -4x + -2.61y = 0 Solving -4x + -2.61y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.61y' to each side of the equation. -4x + -2.61y + 2.61y = 0 + 2.61y Combine like terms: -2.61y + 2.61y = 0.00 -4x + 0.00 = 0 + 2.61y -4x = 0 + 2.61y Remove the zero: -4x = 2.61y Divide each side by '-4'. x = -0.6525y Simplifying x = -0.6525y
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