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Simplifying 2(x + 7) = 5x + 6 + -3x + 8 Reorder the terms: 2(7 + x) = 5x + 6 + -3x + 8 (7 * 2 + x * 2) = 5x + 6 + -3x + 8 (14 + 2x) = 5x + 6 + -3x + 8 Reorder the terms: 14 + 2x = 6 + 8 + 5x + -3x Combine like terms: 6 + 8 = 14 14 + 2x = 14 + 5x + -3x Combine like terms: 5x + -3x = 2x 14 + 2x = 14 + 2x Add '-14' to each side of the equation. 14 + -14 + 2x = 14 + -14 + 2x Combine like terms: 14 + -14 = 0 0 + 2x = 14 + -14 + 2x 2x = 14 + -14 + 2x Combine like terms: 14 + -14 = 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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