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Simplifying 3(x + 4) = (x + 4) + (x + 4) + (x + 4) Reorder the terms: 3(4 + x) = (x + 4) + (x + 4) + (x + 4) (4 * 3 + x * 3) = (x + 4) + (x + 4) + (x + 4) (12 + 3x) = (x + 4) + (x + 4) + (x + 4) Reorder the terms: 12 + 3x = (4 + x) + (x + 4) + (x + 4) Remove parenthesis around (4 + x) 12 + 3x = 4 + x + (x + 4) + (x + 4) Reorder the terms: 12 + 3x = 4 + x + (4 + x) + (x + 4) Remove parenthesis around (4 + x) 12 + 3x = 4 + x + 4 + x + (x + 4) Reorder the terms: 12 + 3x = 4 + x + 4 + x + (4 + x) Remove parenthesis around (4 + x) 12 + 3x = 4 + x + 4 + x + 4 + x Reorder the terms: 12 + 3x = 4 + 4 + 4 + x + x + x Combine like terms: 4 + 4 = 8 12 + 3x = 8 + 4 + x + x + x Combine like terms: 8 + 4 = 12 12 + 3x = 12 + x + x + x Combine like terms: x + x = 2x 12 + 3x = 12 + 2x + x Combine like terms: 2x + x = 3x 12 + 3x = 12 + 3x Add '-12' to each side of the equation. 12 + -12 + 3x = 12 + -12 + 3x Combine like terms: 12 + -12 = 0 0 + 3x = 12 + -12 + 3x 3x = 12 + -12 + 3x Combine like terms: 12 + -12 = 0 3x = 0 + 3x 3x = 3x Add '-3x' to each side of the equation. 3x + -3x = 3x + -3x Combine like terms: 3x + -3x = 0 0 = 3x + -3x Combine like terms: 3x + -3x = 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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