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Simplifying x + 19 + x + 3(x + 19) = x + 19 + x + 3(x) + 3(19) Reorder the terms: x + 19 + x + 3(19 + x) = x + 19 + x + 3(x) + 3(19) x + 19 + x + (19 * 3 + x * 3) = x + 19 + x + 3(x) + 3(19) x + 19 + x + (57 + 3x) = x + 19 + x + 3(x) + 3(19) Reorder the terms: 19 + 57 + x + x + 3x = x + 19 + x + 3(x) + 3(19) Combine like terms: 19 + 57 = 76 76 + x + x + 3x = x + 19 + x + 3(x) + 3(19) Combine like terms: x + x = 2x 76 + 2x + 3x = x + 19 + x + 3(x) + 3(19) Combine like terms: 2x + 3x = 5x 76 + 5x = x + 19 + x + 3(x) + 3(19) Multiply 3 * 19 76 + 5x = x + 19 + x + 3x + 57 Reorder the terms: 76 + 5x = 19 + 57 + x + x + 3x Combine like terms: 19 + 57 = 76 76 + 5x = 76 + x + x + 3x Combine like terms: x + x = 2x 76 + 5x = 76 + 2x + 3x Combine like terms: 2x + 3x = 5x 76 + 5x = 76 + 5x Add '-76' to each side of the equation. 76 + -76 + 5x = 76 + -76 + 5x Combine like terms: 76 + -76 = 0 0 + 5x = 76 + -76 + 5x 5x = 76 + -76 + 5x Combine like terms: 76 + -76 = 0 5x = 0 + 5x 5x = 5x Add '-5x' to each side of the equation. 5x + -5x = 5x + -5x Combine like terms: 5x + -5x = 0 0 = 5x + -5x Combine like terms: 5x + -5x = 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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