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Simplifying 2(x + 4) = 4x + -1(2x + 4) Reorder the terms: 2(4 + x) = 4x + -1(2x + 4) (4 * 2 + x * 2) = 4x + -1(2x + 4) (8 + 2x) = 4x + -1(2x + 4) Reorder the terms: 8 + 2x = 4x + -1(4 + 2x) 8 + 2x = 4x + (4 * -1 + 2x * -1) 8 + 2x = 4x + (-4 + -2x) Reorder the terms: 8 + 2x = -4 + 4x + -2x Combine like terms: 4x + -2x = 2x 8 + 2x = -4 + 2x Add '-2x' to each side of the equation. 8 + 2x + -2x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + 0 = -4 + 2x + -2x 8 = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 8 = -4 + 0 8 = -4 Solving 8 = -4 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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