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Simplifying 5x + -3(x + 7) = 3x + -1(x + 8) Reorder the terms: 5x + -3(7 + x) = 3x + -1(x + 8) 5x + (7 * -3 + x * -3) = 3x + -1(x + 8) 5x + (-21 + -3x) = 3x + -1(x + 8) Reorder the terms: -21 + 5x + -3x = 3x + -1(x + 8) Combine like terms: 5x + -3x = 2x -21 + 2x = 3x + -1(x + 8) Reorder the terms: -21 + 2x = 3x + -1(8 + x) -21 + 2x = 3x + (8 * -1 + x * -1) -21 + 2x = 3x + (-8 + -1x) Reorder the terms: -21 + 2x = -8 + 3x + -1x Combine like terms: 3x + -1x = 2x -21 + 2x = -8 + 2x Add '-2x' to each side of the equation. -21 + 2x + -2x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 -21 + 0 = -8 + 2x + -2x -21 = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 -21 = -8 + 0 -21 = -8 Solving -21 = -8 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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