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Simplifying 3(4x + 5) = 3(4x) + 3(5) Reorder the terms: 3(5 + 4x) = 3(4x) + 3(5) (5 * 3 + 4x * 3) = 3(4x) + 3(5) (15 + 12x) = 3(4x) + 3(5) Remove parenthesis around (4x) 15 + 12x = 3 * 4x + 3(5) Multiply 3 * 4 15 + 12x = 12x + 3(5) Multiply 3 * 5 15 + 12x = 12x + 15 Reorder the terms: 15 + 12x = 15 + 12x Add '-15' to each side of the equation. 15 + -15 + 12x = 15 + -15 + 12x Combine like terms: 15 + -15 = 0 0 + 12x = 15 + -15 + 12x 12x = 15 + -15 + 12x Combine like terms: 15 + -15 = 0 12x = 0 + 12x 12x = 12x Add '-12x' to each side of the equation. 12x + -12x = 12x + -12x Combine like terms: 12x + -12x = 0 0 = 12x + -12x Combine like terms: 12x + -12x = 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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