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Simplifying 5(x + -5) + -34 = 8x + -3(x + -7) Reorder the terms: 5(-5 + x) + -34 = 8x + -3(x + -7) (-5 * 5 + x * 5) + -34 = 8x + -3(x + -7) (-25 + 5x) + -34 = 8x + -3(x + -7) Reorder the terms: -25 + -34 + 5x = 8x + -3(x + -7) Combine like terms: -25 + -34 = -59 -59 + 5x = 8x + -3(x + -7) Reorder the terms: -59 + 5x = 8x + -3(-7 + x) -59 + 5x = 8x + (-7 * -3 + x * -3) -59 + 5x = 8x + (21 + -3x) Reorder the terms: -59 + 5x = 21 + 8x + -3x Combine like terms: 8x + -3x = 5x -59 + 5x = 21 + 5x Add '-5x' to each side of the equation. -59 + 5x + -5x = 21 + 5x + -5x Combine like terms: 5x + -5x = 0 -59 + 0 = 21 + 5x + -5x -59 = 21 + 5x + -5x Combine like terms: 5x + -5x = 0 -59 = 21 + 0 -59 = 21 Solving -59 = 21 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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