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Simplifying 2(x + 4) = 7x + 1 + -5x + 7 Reorder the terms: 2(4 + x) = 7x + 1 + -5x + 7 (4 * 2 + x * 2) = 7x + 1 + -5x + 7 (8 + 2x) = 7x + 1 + -5x + 7 Reorder the terms: 8 + 2x = 1 + 7 + 7x + -5x Combine like terms: 1 + 7 = 8 8 + 2x = 8 + 7x + -5x Combine like terms: 7x + -5x = 2x 8 + 2x = 8 + 2x Add '-8' to each side of the equation. 8 + -8 + 2x = 8 + -8 + 2x Combine like terms: 8 + -8 = 0 0 + 2x = 8 + -8 + 2x 2x = 8 + -8 + 2x Combine like terms: 8 + -8 = 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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