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Simplifying 2(x + 4) = 3x + -1(5 + x) Reorder the terms: 2(4 + x) = 3x + -1(5 + x) (4 * 2 + x * 2) = 3x + -1(5 + x) (8 + 2x) = 3x + -1(5 + x) 8 + 2x = 3x + (5 * -1 + x * -1) 8 + 2x = 3x + (-5 + -1x) Reorder the terms: 8 + 2x = -5 + 3x + -1x Combine like terms: 3x + -1x = 2x 8 + 2x = -5 + 2x Add '-2x' to each side of the equation. 8 + 2x + -2x = -5 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + 0 = -5 + 2x + -2x 8 = -5 + 2x + -2x Combine like terms: 2x + -2x = 0 8 = -5 + 0 8 = -5 Solving 8 = -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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