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Simplifying 5(x + 7) + 4 = 10x + -5(x + -4) Reorder the terms: 5(7 + x) + 4 = 10x + -5(x + -4) (7 * 5 + x * 5) + 4 = 10x + -5(x + -4) (35 + 5x) + 4 = 10x + -5(x + -4) Reorder the terms: 35 + 4 + 5x = 10x + -5(x + -4) Combine like terms: 35 + 4 = 39 39 + 5x = 10x + -5(x + -4) Reorder the terms: 39 + 5x = 10x + -5(-4 + x) 39 + 5x = 10x + (-4 * -5 + x * -5) 39 + 5x = 10x + (20 + -5x) Reorder the terms: 39 + 5x = 20 + 10x + -5x Combine like terms: 10x + -5x = 5x 39 + 5x = 20 + 5x Add '-5x' to each side of the equation. 39 + 5x + -5x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 39 + 0 = 20 + 5x + -5x 39 = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 39 = 20 + 0 39 = 20 Solving 39 = 20 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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