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Simplifying -6(3x + -7) + 9 = -18x + 51 Reorder the terms: -6(-7 + 3x) + 9 = -18x + 51 (-7 * -6 + 3x * -6) + 9 = -18x + 51 (42 + -18x) + 9 = -18x + 51 Reorder the terms: 42 + 9 + -18x = -18x + 51 Combine like terms: 42 + 9 = 51 51 + -18x = -18x + 51 Reorder the terms: 51 + -18x = 51 + -18x Add '-51' to each side of the equation. 51 + -51 + -18x = 51 + -51 + -18x Combine like terms: 51 + -51 = 0 0 + -18x = 51 + -51 + -18x -18x = 51 + -51 + -18x Combine like terms: 51 + -51 = 0 -18x = 0 + -18x -18x = -18x Add '18x' to each side of the equation. -18x + 18x = -18x + 18x Combine like terms: -18x + 18x = 0 0 = -18x + 18x Combine like terms: -18x + 18x = 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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