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Simplifying 6(3x + -7) = 18(x + 7) + -168 Reorder the terms: 6(-7 + 3x) = 18(x + 7) + -168 (-7 * 6 + 3x * 6) = 18(x + 7) + -168 (-42 + 18x) = 18(x + 7) + -168 Reorder the terms: -42 + 18x = 18(7 + x) + -168 -42 + 18x = (7 * 18 + x * 18) + -168 -42 + 18x = (126 + 18x) + -168 Reorder the terms: -42 + 18x = 126 + -168 + 18x Combine like terms: 126 + -168 = -42 -42 + 18x = -42 + 18x Add '42' to each side of the equation. -42 + 42 + 18x = -42 + 42 + 18x Combine like terms: -42 + 42 = 0 0 + 18x = -42 + 42 + 18x 18x = -42 + 42 + 18x Combine like terms: -42 + 42 = 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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