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Simplifying 2(x + -8) + 7 = 5(x + 2) + -3x + -20 Reorder the terms: 2(-8 + x) + 7 = 5(x + 2) + -3x + -20 (-8 * 2 + x * 2) + 7 = 5(x + 2) + -3x + -20 (-16 + 2x) + 7 = 5(x + 2) + -3x + -20 Reorder the terms: -16 + 7 + 2x = 5(x + 2) + -3x + -20 Combine like terms: -16 + 7 = -9 -9 + 2x = 5(x + 2) + -3x + -20 Reorder the terms: -9 + 2x = 5(2 + x) + -3x + -20 -9 + 2x = (2 * 5 + x * 5) + -3x + -20 -9 + 2x = (10 + 5x) + -3x + -20 Reorder the terms: -9 + 2x = 10 + -20 + 5x + -3x Combine like terms: 10 + -20 = -10 -9 + 2x = -10 + 5x + -3x Combine like terms: 5x + -3x = 2x -9 + 2x = -10 + 2x Add '-2x' to each side of the equation. -9 + 2x + -2x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 -9 + 0 = -10 + 2x + -2x -9 = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 -9 = -10 + 0 -9 = -10 Solving -9 = -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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