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Simplifying 10(x + -5) + 7 = 10x + 43 Reorder the terms: 10(-5 + x) + 7 = 10x + 43 (-5 * 10 + x * 10) + 7 = 10x + 43 (-50 + 10x) + 7 = 10x + 43 Reorder the terms: -50 + 7 + 10x = 10x + 43 Combine like terms: -50 + 7 = -43 -43 + 10x = 10x + 43 Reorder the terms: -43 + 10x = 43 + 10x Add '-10x' to each side of the equation. -43 + 10x + -10x = 43 + 10x + -10x Combine like terms: 10x + -10x = 0 -43 + 0 = 43 + 10x + -10x -43 = 43 + 10x + -10x Combine like terms: 10x + -10x = 0 -43 = 43 + 0 -43 = 43 Solving -43 = 43 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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