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Simplifying 7(3x + -5) + 7 = 3x + -1(5 + -18x) Reorder the terms: 7(-5 + 3x) + 7 = 3x + -1(5 + -18x) (-5 * 7 + 3x * 7) + 7 = 3x + -1(5 + -18x) (-35 + 21x) + 7 = 3x + -1(5 + -18x) Reorder the terms: -35 + 7 + 21x = 3x + -1(5 + -18x) Combine like terms: -35 + 7 = -28 -28 + 21x = 3x + -1(5 + -18x) -28 + 21x = 3x + (5 * -1 + -18x * -1) -28 + 21x = 3x + (-5 + 18x) Reorder the terms: -28 + 21x = -5 + 3x + 18x Combine like terms: 3x + 18x = 21x -28 + 21x = -5 + 21x Add '-21x' to each side of the equation. -28 + 21x + -21x = -5 + 21x + -21x Combine like terms: 21x + -21x = 0 -28 + 0 = -5 + 21x + -21x -28 = -5 + 21x + -21x Combine like terms: 21x + -21x = 0 -28 = -5 + 0 -28 = -5 Solving -28 = -5 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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