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Simplifying 2(4x + 5) + -3(x + -1) = 5x + 4 Reorder the terms: 2(5 + 4x) + -3(x + -1) = 5x + 4 (5 * 2 + 4x * 2) + -3(x + -1) = 5x + 4 (10 + 8x) + -3(x + -1) = 5x + 4 Reorder the terms: 10 + 8x + -3(-1 + x) = 5x + 4 10 + 8x + (-1 * -3 + x * -3) = 5x + 4 10 + 8x + (3 + -3x) = 5x + 4 Reorder the terms: 10 + 3 + 8x + -3x = 5x + 4 Combine like terms: 10 + 3 = 13 13 + 8x + -3x = 5x + 4 Combine like terms: 8x + -3x = 5x 13 + 5x = 5x + 4 Reorder the terms: 13 + 5x = 4 + 5x Add '-5x' to each side of the equation. 13 + 5x + -5x = 4 + 5x + -5x Combine like terms: 5x + -5x = 0 13 + 0 = 4 + 5x + -5x 13 = 4 + 5x + -5x Combine like terms: 5x + -5x = 0 13 = 4 + 0 13 = 4 Solving 13 = 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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