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Simplifying 8x + -5(x + 9) = 2 + 3(x + 2) Reorder the terms: 8x + -5(9 + x) = 2 + 3(x + 2) 8x + (9 * -5 + x * -5) = 2 + 3(x + 2) 8x + (-45 + -5x) = 2 + 3(x + 2) Reorder the terms: -45 + 8x + -5x = 2 + 3(x + 2) Combine like terms: 8x + -5x = 3x -45 + 3x = 2 + 3(x + 2) Reorder the terms: -45 + 3x = 2 + 3(2 + x) -45 + 3x = 2 + (2 * 3 + x * 3) -45 + 3x = 2 + (6 + 3x) Combine like terms: 2 + 6 = 8 -45 + 3x = 8 + 3x Add '-3x' to each side of the equation. -45 + 3x + -3x = 8 + 3x + -3x Combine like terms: 3x + -3x = 0 -45 + 0 = 8 + 3x + -3x -45 = 8 + 3x + -3x Combine like terms: 3x + -3x = 0 -45 = 8 + 0 -45 = 8 Solving -45 = 8 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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