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Simplifying -7(1 + 9x) + -12x = -5x + 10(1 + -7x) (1 * -7 + 9x * -7) + -12x = -5x + 10(1 + -7x) (-7 + -63x) + -12x = -5x + 10(1 + -7x) Combine like terms: -63x + -12x = -75x -7 + -75x = -5x + 10(1 + -7x) -7 + -75x = -5x + (1 * 10 + -7x * 10) -7 + -75x = -5x + (10 + -70x) Reorder the terms: -7 + -75x = 10 + -5x + -70x Combine like terms: -5x + -70x = -75x -7 + -75x = 10 + -75x Add '75x' to each side of the equation. -7 + -75x + 75x = 10 + -75x + 75x Combine like terms: -75x + 75x = 0 -7 + 0 = 10 + -75x + 75x -7 = 10 + -75x + 75x Combine like terms: -75x + 75x = 0 -7 = 10 + 0 -7 = 10 Solving -7 = 10 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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