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Simplifying 5x + (3y + -2x) = 5x + (-2x + 3y) Reorder the terms: 5x + (-2x + 3y) = 5x + (-2x + 3y) Remove parenthesis around (-2x + 3y) 5x + -2x + 3y = 5x + (-2x + 3y) Combine like terms: 5x + -2x = 3x 3x + 3y = 5x + (-2x + 3y) Remove parenthesis around (-2x + 3y) 3x + 3y = 5x + -2x + 3y Combine like terms: 5x + -2x = 3x 3x + 3y = 3x + 3y Add '-3x' to each side of the equation. 3x + -3x + 3y = 3x + -3x + 3y Combine like terms: 3x + -3x = 0 0 + 3y = 3x + -3x + 3y 3y = 3x + -3x + 3y Combine like terms: 3x + -3x = 0 3y = 0 + 3y 3y = 3y Add '-3y' to each side of the equation. 3y + -3y = 3y + -3y Combine like terms: 3y + -3y = 0 0 = 3y + -3y Combine like terms: 3y + -3y = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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