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Simplifying 1.4(1.5x) + 1.4(-2.2y) + (-2.5)(3.0x) + (-2.5)(1.5y) = 0 Remove parenthesis around (1.5x) 1.4 * 1.5x + 1.4(-2.2y) + (-2.5)(3.0x) + (-2.5)(1.5y) = 0 Multiply 1.4 * 1.5 2.1x + 1.4(-2.2y) + (-2.5)(3.0x) + (-2.5)(1.5y) = 0 Remove parenthesis around (-2.2y) 2.1x + 1.4 * -2.2y + (-2.5)(3.0x) + (-2.5)(1.5y) = 0 Multiply 1.4 * -2.2 2.1x + -3.08y + (-2.5)(3.0x) + (-2.5)(1.5y) = 0 Remove parenthesis around (3.0x) 2.1x + -3.08y + -2.5 * 3.0x + (-2.5)(1.5y) = 0 Multiply -2.5 * 3.0 2.1x + -3.08y + -7.5x + (-2.5)(1.5y) = 0 Remove parenthesis around (1.5y) 2.1x + -3.08y + -7.5x + -2.5 * 1.5y = 0 Multiply -2.5 * 1.5 2.1x + -3.08y + -7.5x + -3.75y = 0 Reorder the terms: 2.1x + -7.5x + -3.08y + -3.75y = 0 Combine like terms: 2.1x + -7.5x = -5.4x -5.4x + -3.08y + -3.75y = 0 Combine like terms: -3.08y + -3.75y = -6.83y -5.4x + -6.83y = 0 Solving -5.4x + -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. -5.4x + -6.83y + 6.83y = 0 + 6.83y Combine like terms: -6.83y + 6.83y = 0.00 -5.4x + 0.00 = 0 + 6.83y -5.4x = 0 + 6.83y Remove the zero: -5.4x = 6.83y Divide each side by '-5.4'. x = -1.264814815y Simplifying x = -1.264814815y
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