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Simplifying 5 + -3(x + 5) = 7 + -1(2 + 3x) Reorder the terms: 5 + -3(5 + x) = 7 + -1(2 + 3x) 5 + (5 * -3 + x * -3) = 7 + -1(2 + 3x) 5 + (-15 + -3x) = 7 + -1(2 + 3x) Combine like terms: 5 + -15 = -10 -10 + -3x = 7 + -1(2 + 3x) -10 + -3x = 7 + (2 * -1 + 3x * -1) -10 + -3x = 7 + (-2 + -3x) Combine like terms: 7 + -2 = 5 -10 + -3x = 5 + -3x Add '3x' to each side of the equation. -10 + -3x + 3x = 5 + -3x + 3x Combine like terms: -3x + 3x = 0 -10 + 0 = 5 + -3x + 3x -10 = 5 + -3x + 3x Combine like terms: -3x + 3x = 0 -10 = 5 + 0 -10 = 5 Solving -10 = 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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