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Simplifying 5(3x + y) = 5(3x + 1y) (3x * 5 + y * 5) = 5(3x + 1y) (15x + 5y) = 5(3x + 1y) 15x + 5y = (3x * 5 + 1y * 5) 15x + 5y = (15x + 5y) Add '-15x' to each side of the equation. 15x + -15x + 5y = 15x + -15x + 5y Combine like terms: 15x + -15x = 0 0 + 5y = 15x + -15x + 5y 5y = 15x + -15x + 5y Combine like terms: 15x + -15x = 0 5y = 0 + 5y 5y = 5y Add '-5y' to each side of the equation. 5y + -5y = 5y + -5y Combine like terms: 5y + -5y = 0 0 = 5y + -5y Combine like terms: 5y + -5y = 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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