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Simplifying 1.4(2.5x) + 1.4(-2.8y) + (-3.5)(2.0x) + (-3.5)(1.5y) = 0 Remove parenthesis around (2.5x) 1.4 * 2.5x + 1.4(-2.8y) + (-3.5)(2.0x) + (-3.5)(1.5y) = 0 Multiply 1.4 * 2.5 3.5x + 1.4(-2.8y) + (-3.5)(2.0x) + (-3.5)(1.5y) = 0 Remove parenthesis around (-2.8y) 3.5x + 1.4 * -2.8y + (-3.5)(2.0x) + (-3.5)(1.5y) = 0 Multiply 1.4 * -2.8 3.5x + -3.92y + (-3.5)(2.0x) + (-3.5)(1.5y) = 0 Remove parenthesis around (2.0x) 3.5x + -3.92y + -3.5 * 2.0x + (-3.5)(1.5y) = 0 Multiply -3.5 * 2.0 3.5x + -3.92y + -7x + (-3.5)(1.5y) = 0 Remove parenthesis around (1.5y) 3.5x + -3.92y + -7x + -3.5 * 1.5y = 0 Multiply -3.5 * 1.5 3.5x + -3.92y + -7x + -5.25y = 0 Reorder the terms: 3.5x + -7x + -3.92y + -5.25y = 0 Combine like terms: 3.5x + -7x = -3.5x -3.5x + -3.92y + -5.25y = 0 Combine like terms: -3.92y + -5.25y = -9.17y -3.5x + -9.17y = 0 Solving -3.5x + -9.17y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9.17y' to each side of the equation. -3.5x + -9.17y + 9.17y = 0 + 9.17y Combine like terms: -9.17y + 9.17y = 0.00 -3.5x + 0.00 = 0 + 9.17y -3.5x = 0 + 9.17y Remove the zero: -3.5x = 9.17y Divide each side by '-3.5'. x = -2.62y Simplifying x = -2.62y
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