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Simplifying 8(x + 9) + -3x = 5(x + -8) + 2 Reorder the terms: 8(9 + x) + -3x = 5(x + -8) + 2 (9 * 8 + x * 8) + -3x = 5(x + -8) + 2 (72 + 8x) + -3x = 5(x + -8) + 2 Combine like terms: 8x + -3x = 5x 72 + 5x = 5(x + -8) + 2 Reorder the terms: 72 + 5x = 5(-8 + x) + 2 72 + 5x = (-8 * 5 + x * 5) + 2 72 + 5x = (-40 + 5x) + 2 Reorder the terms: 72 + 5x = -40 + 2 + 5x Combine like terms: -40 + 2 = -38 72 + 5x = -38 + 5x Add '-5x' to each side of the equation. 72 + 5x + -5x = -38 + 5x + -5x Combine like terms: 5x + -5x = 0 72 + 0 = -38 + 5x + -5x 72 = -38 + 5x + -5x Combine like terms: 5x + -5x = 0 72 = -38 + 0 72 = -38 Solving 72 = -38 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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