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Simplifying -12x + 10(5 + 4x) = 7(4x + 8) -12x + (5 * 10 + 4x * 10) = 7(4x + 8) -12x + (50 + 40x) = 7(4x + 8) Reorder the terms: 50 + -12x + 40x = 7(4x + 8) Combine like terms: -12x + 40x = 28x 50 + 28x = 7(4x + 8) Reorder the terms: 50 + 28x = 7(8 + 4x) 50 + 28x = (8 * 7 + 4x * 7) 50 + 28x = (56 + 28x) Add '-28x' to each side of the equation. 50 + 28x + -28x = 56 + 28x + -28x Combine like terms: 28x + -28x = 0 50 + 0 = 56 + 28x + -28x 50 = 56 + 28x + -28x Combine like terms: 28x + -28x = 0 50 = 56 + 0 50 = 56 Solving 50 = 56 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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