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Simplifying 5(x + -7) + -65 = 8x + -3(x + -4) Reorder the terms: 5(-7 + x) + -65 = 8x + -3(x + -4) (-7 * 5 + x * 5) + -65 = 8x + -3(x + -4) (-35 + 5x) + -65 = 8x + -3(x + -4) Reorder the terms: -35 + -65 + 5x = 8x + -3(x + -4) Combine like terms: -35 + -65 = -100 -100 + 5x = 8x + -3(x + -4) Reorder the terms: -100 + 5x = 8x + -3(-4 + x) -100 + 5x = 8x + (-4 * -3 + x * -3) -100 + 5x = 8x + (12 + -3x) Reorder the terms: -100 + 5x = 12 + 8x + -3x Combine like terms: 8x + -3x = 5x -100 + 5x = 12 + 5x Add '-5x' to each side of the equation. -100 + 5x + -5x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 -100 + 0 = 12 + 5x + -5x -100 = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 -100 = 12 + 0 -100 = 12 Solving -100 = 12 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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