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Simplifying (3x + 2y + -7) = (5x + -4y + 6) Reorder the terms: (-7 + 3x + 2y) = (5x + -4y + 6) Remove parenthesis around (-7 + 3x + 2y) -7 + 3x + 2y = (5x + -4y + 6) Reorder the terms: -7 + 3x + 2y = (6 + 5x + -4y) Remove parenthesis around (6 + 5x + -4y) -7 + 3x + 2y = 6 + 5x + -4y Solving -7 + 3x + 2y = 6 + 5x + -4y 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. -7 + 3x + -5x + 2y = 6 + 5x + -5x + -4y Combine like terms: 3x + -5x = -2x -7 + -2x + 2y = 6 + 5x + -5x + -4y Combine like terms: 5x + -5x = 0 -7 + -2x + 2y = 6 + 0 + -4y -7 + -2x + 2y = 6 + -4y Add '7' to each side of the equation. -7 + -2x + 7 + 2y = 6 + 7 + -4y Reorder the terms: -7 + 7 + -2x + 2y = 6 + 7 + -4y Combine like terms: -7 + 7 = 0 0 + -2x + 2y = 6 + 7 + -4y -2x + 2y = 6 + 7 + -4y Combine like terms: 6 + 7 = 13 -2x + 2y = 13 + -4y Add '-2y' to each side of the equation. -2x + 2y + -2y = 13 + -4y + -2y Combine like terms: 2y + -2y = 0 -2x + 0 = 13 + -4y + -2y -2x = 13 + -4y + -2y Combine like terms: -4y + -2y = -6y -2x = 13 + -6y Divide each side by '-2'. x = -6.5 + 3y Simplifying x = -6.5 + 3y
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