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Simplifying 10x + -7 = 3x + 7(x + -3) Reorder the terms: -7 + 10x = 3x + 7(x + -3) Reorder the terms: -7 + 10x = 3x + 7(-3 + x) -7 + 10x = 3x + (-3 * 7 + x * 7) -7 + 10x = 3x + (-21 + 7x) Reorder the terms: -7 + 10x = -21 + 3x + 7x Combine like terms: 3x + 7x = 10x -7 + 10x = -21 + 10x Add '-10x' to each side of the equation. -7 + 10x + -10x = -21 + 10x + -10x Combine like terms: 10x + -10x = 0 -7 + 0 = -21 + 10x + -10x -7 = -21 + 10x + -10x Combine like terms: 10x + -10x = 0 -7 = -21 + 0 -7 = -21 Solving -7 = -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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