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Simplifying 5(x + y + z) = 5x + 5y + 5z (x * 5 + y * 5 + z * 5) = 5x + 5y + 5z (5x + 5y + 5z) = 5x + 5y + 5z Add '-5x' to each side of the equation. 5x + 5y + -5x + 5z = 5x + 5y + -5x + 5z Reorder the terms: 5x + -5x + 5y + 5z = 5x + 5y + -5x + 5z Combine like terms: 5x + -5x = 0 0 + 5y + 5z = 5x + 5y + -5x + 5z 5y + 5z = 5x + 5y + -5x + 5z Reorder the terms: 5y + 5z = 5x + -5x + 5y + 5z Combine like terms: 5x + -5x = 0 5y + 5z = 0 + 5y + 5z 5y + 5z = 5y + 5z Add '-5y' to each side of the equation. 5y + -5y + 5z = 5y + -5y + 5z Combine like terms: 5y + -5y = 0 0 + 5z = 5y + -5y + 5z 5z = 5y + -5y + 5z Combine like terms: 5y + -5y = 0 5z = 0 + 5z 5z = 5z Add '-5z' to each side of the equation. 5z + -5z = 5z + -5z Combine like terms: 5z + -5z = 0 0 = 5z + -5z Combine like terms: 5z + -5z = 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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