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Simplifying -6(X + 8) + -1X + -5 = -7(X + 6) + -11 Reorder the terms: -6(8 + X) + -1X + -5 = -7(X + 6) + -11 (8 * -6 + X * -6) + -1X + -5 = -7(X + 6) + -11 (-48 + -6X) + -1X + -5 = -7(X + 6) + -11 Reorder the terms: -48 + -5 + -6X + -1X = -7(X + 6) + -11 Combine like terms: -48 + -5 = -53 -53 + -6X + -1X = -7(X + 6) + -11 Combine like terms: -6X + -1X = -7X -53 + -7X = -7(X + 6) + -11 Reorder the terms: -53 + -7X = -7(6 + X) + -11 -53 + -7X = (6 * -7 + X * -7) + -11 -53 + -7X = (-42 + -7X) + -11 Reorder the terms: -53 + -7X = -42 + -11 + -7X Combine like terms: -42 + -11 = -53 -53 + -7X = -53 + -7X Add '53' to each side of the equation. -53 + 53 + -7X = -53 + 53 + -7X Combine like terms: -53 + 53 = 0 0 + -7X = -53 + 53 + -7X -7X = -53 + 53 + -7X Combine like terms: -53 + 53 = 0 -7X = 0 + -7X -7X = -7X Add '7X' to each side of the equation. -7X + 7X = -7X + 7X Combine like terms: -7X + 7X = 0 0 = -7X + 7X Combine like terms: -7X + 7X = 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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