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Simplifying 5(2y + -3x) + (4x + -5y + 3) = 0 Reorder the terms: 5(-3x + 2y) + (4x + -5y + 3) = 0 (-3x * 5 + 2y * 5) + (4x + -5y + 3) = 0 (-15x + 10y) + (4x + -5y + 3) = 0 Reorder the terms: -15x + 10y + (3 + 4x + -5y) = 0 Remove parenthesis around (3 + 4x + -5y) -15x + 10y + 3 + 4x + -5y = 0 Reorder the terms: 3 + -15x + 4x + 10y + -5y = 0 Combine like terms: -15x + 4x = -11x 3 + -11x + 10y + -5y = 0 Combine like terms: 10y + -5y = 5y 3 + -11x + 5y = 0 Solving 3 + -11x + 5y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -11x + -3 + 5y = 0 + -3 Reorder the terms: 3 + -3 + -11x + 5y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -11x + 5y = 0 + -3 -11x + 5y = 0 + -3 Combine like terms: 0 + -3 = -3 -11x + 5y = -3 Add '-5y' to each side of the equation. -11x + 5y + -5y = -3 + -5y Combine like terms: 5y + -5y = 0 -11x + 0 = -3 + -5y -11x = -3 + -5y Divide each side by '-11'. x = 0.2727272727 + 0.4545454545y Simplifying x = 0.2727272727 + 0.4545454545y
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