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Simplifying 4x + -1(3y + 7x) = 4x + -3y + 7x Reorder the terms: 4x + -1(7x + 3y) = 4x + -3y + 7x 4x + (7x * -1 + 3y * -1) = 4x + -3y + 7x 4x + (-7x + -3y) = 4x + -3y + 7x Combine like terms: 4x + -7x = -3x -3x + -3y = 4x + -3y + 7x Reorder the terms: -3x + -3y = 4x + 7x + -3y Combine like terms: 4x + 7x = 11x -3x + -3y = 11x + -3y Add '3y' to each side of the equation. -3x + -3y + 3y = 11x + -3y + 3y Combine like terms: -3y + 3y = 0 -3x + 0 = 11x + -3y + 3y -3x = 11x + -3y + 3y Combine like terms: -3y + 3y = 0 -3x = 11x + 0 -3x = 11x Solving -3x = 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -3x + -11x = 11x + -11x Combine like terms: -3x + -11x = -14x -14x = 11x + -11x Combine like terms: 11x + -11x = 0 -14x = 0 Divide each side by '-14'. x = 0 Simplifying x = 0
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