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Simplifying 10x + -21 = 2(x + -5) + 8x Reorder the terms: -21 + 10x = 2(x + -5) + 8x Reorder the terms: -21 + 10x = 2(-5 + x) + 8x -21 + 10x = (-5 * 2 + x * 2) + 8x -21 + 10x = (-10 + 2x) + 8x Combine like terms: 2x + 8x = 10x -21 + 10x = -10 + 10x Add '-10x' to each side of the equation. -21 + 10x + -10x = -10 + 10x + -10x Combine like terms: 10x + -10x = 0 -21 + 0 = -10 + 10x + -10x -21 = -10 + 10x + -10x Combine like terms: 10x + -10x = 0 -21 = -10 + 0 -21 = -10 Solving -21 = -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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