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