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Simplifying (3x + -4) = (5x + -3y + 7) Reorder the terms: (-4 + 3x) = (5x + -3y + 7) Remove parenthesis around (-4 + 3x) -4 + 3x = (5x + -3y + 7) Reorder the terms: -4 + 3x = (7 + 5x + -3y) Remove parenthesis around (7 + 5x + -3y) -4 + 3x = 7 + 5x + -3y Solving -4 + 3x = 7 + 5x + -3y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -4 + 3x + -5x = 7 + 5x + -5x + -3y Combine like terms: 3x + -5x = -2x -4 + -2x = 7 + 5x + -5x + -3y Combine like terms: 5x + -5x = 0 -4 + -2x = 7 + 0 + -3y -4 + -2x = 7 + -3y Add '4' to each side of the equation. -4 + 4 + -2x = 7 + 4 + -3y Combine like terms: -4 + 4 = 0 0 + -2x = 7 + 4 + -3y -2x = 7 + 4 + -3y Combine like terms: 7 + 4 = 11 -2x = 11 + -3y Divide each side by '-2'. x = -5.5 + 1.5y Simplifying x = -5.5 + 1.5y
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