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Simplifying 1.2(1.5x) + 1.2(-2.2y) + (-3.5)(2.0x) + (-3.5)(1.5y) = 0 Remove parenthesis around (1.5x) 1.2 * 1.5x + 1.2(-2.2y) + (-3.5)(2.0x) + (-3.5)(1.5y) = 0 Multiply 1.2 * 1.5 1.8x + 1.2(-2.2y) + (-3.5)(2.0x) + (-3.5)(1.5y) = 0 Remove parenthesis around (-2.2y) 1.8x + 1.2 * -2.2y + (-3.5)(2.0x) + (-3.5)(1.5y) = 0 Multiply 1.2 * -2.2 1.8x + -2.64y + (-3.5)(2.0x) + (-3.5)(1.5y) = 0 Remove parenthesis around (2.0x) 1.8x + -2.64y + -3.5 * 2.0x + (-3.5)(1.5y) = 0 Multiply -3.5 * 2.0 1.8x + -2.64y + -7x + (-3.5)(1.5y) = 0 Remove parenthesis around (1.5y) 1.8x + -2.64y + -7x + -3.5 * 1.5y = 0 Multiply -3.5 * 1.5 1.8x + -2.64y + -7x + -5.25y = 0 Reorder the terms: 1.8x + -7x + -2.64y + -5.25y = 0 Combine like terms: 1.8x + -7x = -5.2x -5.2x + -2.64y + -5.25y = 0 Combine like terms: -2.64y + -5.25y = -7.89y -5.2x + -7.89y = 0 Solving -5.2x + -7.89y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7.89y' to each side of the equation. -5.2x + -7.89y + 7.89y = 0 + 7.89y Combine like terms: -7.89y + 7.89y = 0.00 -5.2x + 0.00 = 0 + 7.89y -5.2x = 0 + 7.89y Remove the zero: -5.2x = 7.89y Divide each side by '-5.2'. x = -1.517307692y Simplifying x = -1.517307692y
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