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Simplifying 5(x + 4) + -1x = 4(x + 5) + -1 Reorder the terms: 5(4 + x) + -1x = 4(x + 5) + -1 (4 * 5 + x * 5) + -1x = 4(x + 5) + -1 (20 + 5x) + -1x = 4(x + 5) + -1 Combine like terms: 5x + -1x = 4x 20 + 4x = 4(x + 5) + -1 Reorder the terms: 20 + 4x = 4(5 + x) + -1 20 + 4x = (5 * 4 + x * 4) + -1 20 + 4x = (20 + 4x) + -1 Reorder the terms: 20 + 4x = 20 + -1 + 4x Combine like terms: 20 + -1 = 19 20 + 4x = 19 + 4x Add '-4x' to each side of the equation. 20 + 4x + -4x = 19 + 4x + -4x Combine like terms: 4x + -4x = 0 20 + 0 = 19 + 4x + -4x 20 = 19 + 4x + -4x Combine like terms: 4x + -4x = 0 20 = 19 + 0 20 = 19 Solving 20 = 19 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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