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Simplifying 4x + 2(x + 7) = 2(3x + 5) + 4 Reorder the terms: 4x + 2(7 + x) = 2(3x + 5) + 4 4x + (7 * 2 + x * 2) = 2(3x + 5) + 4 4x + (14 + 2x) = 2(3x + 5) + 4 Reorder the terms: 14 + 4x + 2x = 2(3x + 5) + 4 Combine like terms: 4x + 2x = 6x 14 + 6x = 2(3x + 5) + 4 Reorder the terms: 14 + 6x = 2(5 + 3x) + 4 14 + 6x = (5 * 2 + 3x * 2) + 4 14 + 6x = (10 + 6x) + 4 Reorder the terms: 14 + 6x = 10 + 4 + 6x Combine like terms: 10 + 4 = 14 14 + 6x = 14 + 6x Add '-14' to each side of the equation. 14 + -14 + 6x = 14 + -14 + 6x Combine like terms: 14 + -14 = 0 0 + 6x = 14 + -14 + 6x 6x = 14 + -14 + 6x Combine like terms: 14 + -14 = 0 6x = 0 + 6x 6x = 6x Add '-6x' to each side of the equation. 6x + -6x = 6x + -6x Combine like terms: 6x + -6x = 0 0 = 6x + -6x Combine like terms: 6x + -6x = 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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