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Simplifying 5(X + -3) + 4 = 8X + -1(3X + 6) + -5 Reorder the terms: 5(-3 + X) + 4 = 8X + -1(3X + 6) + -5 (-3 * 5 + X * 5) + 4 = 8X + -1(3X + 6) + -5 (-15 + 5X) + 4 = 8X + -1(3X + 6) + -5 Reorder the terms: -15 + 4 + 5X = 8X + -1(3X + 6) + -5 Combine like terms: -15 + 4 = -11 -11 + 5X = 8X + -1(3X + 6) + -5 Reorder the terms: -11 + 5X = 8X + -1(6 + 3X) + -5 -11 + 5X = 8X + (6 * -1 + 3X * -1) + -5 -11 + 5X = 8X + (-6 + -3X) + -5 Reorder the terms: -11 + 5X = -6 + -5 + 8X + -3X Combine like terms: -6 + -5 = -11 -11 + 5X = -11 + 8X + -3X Combine like terms: 8X + -3X = 5X -11 + 5X = -11 + 5X Add '11' to each side of the equation. -11 + 11 + 5X = -11 + 11 + 5X Combine like terms: -11 + 11 = 0 0 + 5X = -11 + 11 + 5X 5X = -11 + 11 + 5X Combine like terms: -11 + 11 = 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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