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Simplifying 10(x + -5) + 4x = 7(2x + 5) + -10 Reorder the terms: 10(-5 + x) + 4x = 7(2x + 5) + -10 (-5 * 10 + x * 10) + 4x = 7(2x + 5) + -10 (-50 + 10x) + 4x = 7(2x + 5) + -10 Combine like terms: 10x + 4x = 14x -50 + 14x = 7(2x + 5) + -10 Reorder the terms: -50 + 14x = 7(5 + 2x) + -10 -50 + 14x = (5 * 7 + 2x * 7) + -10 -50 + 14x = (35 + 14x) + -10 Reorder the terms: -50 + 14x = 35 + -10 + 14x Combine like terms: 35 + -10 = 25 -50 + 14x = 25 + 14x Add '-14x' to each side of the equation. -50 + 14x + -14x = 25 + 14x + -14x Combine like terms: 14x + -14x = 0 -50 + 0 = 25 + 14x + -14x -50 = 25 + 14x + -14x Combine like terms: 14x + -14x = 0 -50 = 25 + 0 -50 = 25 Solving -50 = 25 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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