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Simplifying 1.4(1.5x) + 1.4(-2.2y) + (-2.5)(2.0x) + (-2.5)(1.5y) = 0 Remove parenthesis around (1.5x) 1.4 * 1.5x + 1.4(-2.2y) + (-2.5)(2.0x) + (-2.5)(1.5y) = 0 Multiply 1.4 * 1.5 2.1x + 1.4(-2.2y) + (-2.5)(2.0x) + (-2.5)(1.5y) = 0 Remove parenthesis around (-2.2y) 2.1x + 1.4 * -2.2y + (-2.5)(2.0x) + (-2.5)(1.5y) = 0 Multiply 1.4 * -2.2 2.1x + -3.08y + (-2.5)(2.0x) + (-2.5)(1.5y) = 0 Remove parenthesis around (2.0x) 2.1x + -3.08y + -2.5 * 2.0x + (-2.5)(1.5y) = 0 Multiply -2.5 * 2.0 2.1x + -3.08y + -5x + (-2.5)(1.5y) = 0 Remove parenthesis around (1.5y) 2.1x + -3.08y + -5x + -2.5 * 1.5y = 0 Multiply -2.5 * 1.5 2.1x + -3.08y + -5x + -3.75y = 0 Reorder the terms: 2.1x + -5x + -3.08y + -3.75y = 0 Combine like terms: 2.1x + -5x = -2.9x -2.9x + -3.08y + -3.75y = 0 Combine like terms: -3.08y + -3.75y = -6.83y -2.9x + -6.83y = 0 Solving -2.9x + -6.83y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6.83y' to each side of the equation. -2.9x + -6.83y + 6.83y = 0 + 6.83y Combine like terms: -6.83y + 6.83y = 0.00 -2.9x + 0.00 = 0 + 6.83y -2.9x = 0 + 6.83y Remove the zero: -2.9x = 6.83y Divide each side by '-2.9'. x = -2.355172414y Simplifying x = -2.355172414y
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