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Simplifying 2(x + 3) = 7x + 5 + -5x + 1 Reorder the terms: 2(3 + x) = 7x + 5 + -5x + 1 (3 * 2 + x * 2) = 7x + 5 + -5x + 1 (6 + 2x) = 7x + 5 + -5x + 1 Reorder the terms: 6 + 2x = 5 + 1 + 7x + -5x Combine like terms: 5 + 1 = 6 6 + 2x = 6 + 7x + -5x Combine like terms: 7x + -5x = 2x 6 + 2x = 6 + 2x Add '-6' to each side of the equation. 6 + -6 + 2x = 6 + -6 + 2x Combine like terms: 6 + -6 = 0 0 + 2x = 6 + -6 + 2x 2x = 6 + -6 + 2x Combine like terms: 6 + -6 = 0 2x = 0 + 2x 2x = 2x Add '-2x' to each side of the equation. 2x + -2x = 2x + -2x Combine like terms: 2x + -2x = 0 0 = 2x + -2x Combine like terms: 2x + -2x = 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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