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Simplifying -2(3x + -7) + 4x = 6x + 5 + -8x + 9 Reorder the terms: -2(-7 + 3x) + 4x = 6x + 5 + -8x + 9 (-7 * -2 + 3x * -2) + 4x = 6x + 5 + -8x + 9 (14 + -6x) + 4x = 6x + 5 + -8x + 9 Combine like terms: -6x + 4x = -2x 14 + -2x = 6x + 5 + -8x + 9 Reorder the terms: 14 + -2x = 5 + 9 + 6x + -8x Combine like terms: 5 + 9 = 14 14 + -2x = 14 + 6x + -8x Combine like terms: 6x + -8x = -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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