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Simplifying 4(X + -6) + X = 5(X + -7) + 11 Reorder the terms: 4(-6 + X) + X = 5(X + -7) + 11 (-6 * 4 + X * 4) + X = 5(X + -7) + 11 (-24 + 4X) + X = 5(X + -7) + 11 Combine like terms: 4X + X = 5X -24 + 5X = 5(X + -7) + 11 Reorder the terms: -24 + 5X = 5(-7 + X) + 11 -24 + 5X = (-7 * 5 + X * 5) + 11 -24 + 5X = (-35 + 5X) + 11 Reorder the terms: -24 + 5X = -35 + 11 + 5X Combine like terms: -35 + 11 = -24 -24 + 5X = -24 + 5X Add '24' to each side of the equation. -24 + 24 + 5X = -24 + 24 + 5X Combine like terms: -24 + 24 = 0 0 + 5X = -24 + 24 + 5X 5X = -24 + 24 + 5X Combine like terms: -24 + 24 = 0 5X = 0 + 5X 5X = 5X Add '-5X' to each side of the equation. 5X + -5X = 5X + -5X Combine like terms: 5X + -5X = 0 0 = 5X + -5X Combine like terms: 5X + -5X = 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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