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Simplifying 7(x + -2) + 2x = 9(x + 2) + -32 Reorder the terms: 7(-2 + x) + 2x = 9(x + 2) + -32 (-2 * 7 + x * 7) + 2x = 9(x + 2) + -32 (-14 + 7x) + 2x = 9(x + 2) + -32 Combine like terms: 7x + 2x = 9x -14 + 9x = 9(x + 2) + -32 Reorder the terms: -14 + 9x = 9(2 + x) + -32 -14 + 9x = (2 * 9 + x * 9) + -32 -14 + 9x = (18 + 9x) + -32 Reorder the terms: -14 + 9x = 18 + -32 + 9x Combine like terms: 18 + -32 = -14 -14 + 9x = -14 + 9x Add '14' to each side of the equation. -14 + 14 + 9x = -14 + 14 + 9x Combine like terms: -14 + 14 = 0 0 + 9x = -14 + 14 + 9x 9x = -14 + 14 + 9x Combine like terms: -14 + 14 = 0 9x = 0 + 9x 9x = 9x Add '-9x' to each side of the equation. 9x + -9x = 9x + -9x Combine like terms: 9x + -9x = 0 0 = 9x + -9x Combine like terms: 9x + -9x = 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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