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Simplifying 2(7 + -4x) = 4(5 + -2x) + -6 (7 * 2 + -4x * 2) = 4(5 + -2x) + -6 (14 + -8x) = 4(5 + -2x) + -6 14 + -8x = (5 * 4 + -2x * 4) + -6 14 + -8x = (20 + -8x) + -6 Reorder the terms: 14 + -8x = 20 + -6 + -8x Combine like terms: 20 + -6 = 14 14 + -8x = 14 + -8x Add '-14' to each side of the equation. 14 + -14 + -8x = 14 + -14 + -8x Combine like terms: 14 + -14 = 0 0 + -8x = 14 + -14 + -8x -8x = 14 + -14 + -8x Combine like terms: 14 + -14 = 0 -8x = 0 + -8x -8x = -8x Add '8x' to each side of the equation. -8x + 8x = -8x + 8x Combine like terms: -8x + 8x = 0 0 = -8x + 8x Combine like terms: -8x + 8x = 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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