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Simplifying 5(X + -7) + 25 = 7X + -1(2X + 4) + -6 Reorder the terms: 5(-7 + X) + 25 = 7X + -1(2X + 4) + -6 (-7 * 5 + X * 5) + 25 = 7X + -1(2X + 4) + -6 (-35 + 5X) + 25 = 7X + -1(2X + 4) + -6 Reorder the terms: -35 + 25 + 5X = 7X + -1(2X + 4) + -6 Combine like terms: -35 + 25 = -10 -10 + 5X = 7X + -1(2X + 4) + -6 Reorder the terms: -10 + 5X = 7X + -1(4 + 2X) + -6 -10 + 5X = 7X + (4 * -1 + 2X * -1) + -6 -10 + 5X = 7X + (-4 + -2X) + -6 Reorder the terms: -10 + 5X = -4 + -6 + 7X + -2X Combine like terms: -4 + -6 = -10 -10 + 5X = -10 + 7X + -2X Combine like terms: 7X + -2X = 5X -10 + 5X = -10 + 5X Add '10' to each side of the equation. -10 + 10 + 5X = -10 + 10 + 5X Combine like terms: -10 + 10 = 0 0 + 5X = -10 + 10 + 5X 5X = -10 + 10 + 5X Combine like terms: -10 + 10 = 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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