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Simplifying 8(x + -2) + x = 9(x + -2) + 2 Reorder the terms: 8(-2 + x) + x = 9(x + -2) + 2 (-2 * 8 + x * 8) + x = 9(x + -2) + 2 (-16 + 8x) + x = 9(x + -2) + 2 Combine like terms: 8x + x = 9x -16 + 9x = 9(x + -2) + 2 Reorder the terms: -16 + 9x = 9(-2 + x) + 2 -16 + 9x = (-2 * 9 + x * 9) + 2 -16 + 9x = (-18 + 9x) + 2 Reorder the terms: -16 + 9x = -18 + 2 + 9x Combine like terms: -18 + 2 = -16 -16 + 9x = -16 + 9x Add '16' to each side of the equation. -16 + 16 + 9x = -16 + 16 + 9x Combine like terms: -16 + 16 = 0 0 + 9x = -16 + 16 + 9x 9x = -16 + 16 + 9x Combine like terms: -16 + 16 = 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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