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Simplifying (4x + 7y + -5) = (-7x + -2y + 1) Reorder the terms: (-5 + 4x + 7y) = (-7x + -2y + 1) Remove parenthesis around (-5 + 4x + 7y) -5 + 4x + 7y = (-7x + -2y + 1) Reorder the terms: -5 + 4x + 7y = (1 + -7x + -2y) Remove parenthesis around (1 + -7x + -2y) -5 + 4x + 7y = 1 + -7x + -2y Solving -5 + 4x + 7y = 1 + -7x + -2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -5 + 4x + 7x + 7y = 1 + -7x + 7x + -2y Combine like terms: 4x + 7x = 11x -5 + 11x + 7y = 1 + -7x + 7x + -2y Combine like terms: -7x + 7x = 0 -5 + 11x + 7y = 1 + 0 + -2y -5 + 11x + 7y = 1 + -2y Add '5' to each side of the equation. -5 + 11x + 5 + 7y = 1 + 5 + -2y Reorder the terms: -5 + 5 + 11x + 7y = 1 + 5 + -2y Combine like terms: -5 + 5 = 0 0 + 11x + 7y = 1 + 5 + -2y 11x + 7y = 1 + 5 + -2y Combine like terms: 1 + 5 = 6 11x + 7y = 6 + -2y Add '-7y' to each side of the equation. 11x + 7y + -7y = 6 + -2y + -7y Combine like terms: 7y + -7y = 0 11x + 0 = 6 + -2y + -7y 11x = 6 + -2y + -7y Combine like terms: -2y + -7y = -9y 11x = 6 + -9y Divide each side by '11'. x = 0.5454545455 + -0.8181818182y Simplifying x = 0.5454545455 + -0.8181818182y
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