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Simplifying 7(x + -1y) = 7x + -7y (x * 7 + -1y * 7) = 7x + -7y (7x + -7y) = 7x + -7y Add '-7x' to each side of the equation. 7x + -7x + -7y = 7x + -7x + -7y Combine like terms: 7x + -7x = 0 0 + -7y = 7x + -7x + -7y -7y = 7x + -7x + -7y Combine like terms: 7x + -7x = 0 -7y = 0 + -7y -7y = -7y Add '7y' to each side of the equation. -7y + 7y = -7y + 7y Combine like terms: -7y + 7y = 0 0 = -7y + 7y Combine like terms: -7y + 7y = 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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