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Simplifying 3x + 8 = 5x + -2(x + 4) Reorder the terms: 8 + 3x = 5x + -2(x + 4) Reorder the terms: 8 + 3x = 5x + -2(4 + x) 8 + 3x = 5x + (4 * -2 + x * -2) 8 + 3x = 5x + (-8 + -2x) Reorder the terms: 8 + 3x = -8 + 5x + -2x Combine like terms: 5x + -2x = 3x 8 + 3x = -8 + 3x Add '-3x' to each side of the equation. 8 + 3x + -3x = -8 + 3x + -3x Combine like terms: 3x + -3x = 0 8 + 0 = -8 + 3x + -3x 8 = -8 + 3x + -3x Combine like terms: 3x + -3x = 0 8 = -8 + 0 8 = -8 Solving 8 = -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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