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Simplifying 1.2(2.5x) + 1.2(-2.6y) + (-3.5)(2.0x) + (-3.5)(1.5y) = 0 Remove parenthesis around (2.5x) 1.2 * 2.5x + 1.2(-2.6y) + (-3.5)(2.0x) + (-3.5)(1.5y) = 0 Multiply 1.2 * 2.5 3x + 1.2(-2.6y) + (-3.5)(2.0x) + (-3.5)(1.5y) = 0 Remove parenthesis around (-2.6y) 3x + 1.2 * -2.6y + (-3.5)(2.0x) + (-3.5)(1.5y) = 0 Multiply 1.2 * -2.6 3x + -3.12y + (-3.5)(2.0x) + (-3.5)(1.5y) = 0 Remove parenthesis around (2.0x) 3x + -3.12y + -3.5 * 2.0x + (-3.5)(1.5y) = 0 Multiply -3.5 * 2.0 3x + -3.12y + -7x + (-3.5)(1.5y) = 0 Remove parenthesis around (1.5y) 3x + -3.12y + -7x + -3.5 * 1.5y = 0 Multiply -3.5 * 1.5 3x + -3.12y + -7x + -5.25y = 0 Reorder the terms: 3x + -7x + -3.12y + -5.25y = 0 Combine like terms: 3x + -7x = -4x -4x + -3.12y + -5.25y = 0 Combine like terms: -3.12y + -5.25y = -8.37y -4x + -8.37y = 0 Solving -4x + -8.37y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8.37y' to each side of the equation. -4x + -8.37y + 8.37y = 0 + 8.37y Combine like terms: -8.37y + 8.37y = 0.00 -4x + 0.00 = 0 + 8.37y -4x = 0 + 8.37y Remove the zero: -4x = 8.37y Divide each side by '-4'. x = -2.0925y Simplifying x = -2.0925y
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