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Simplifying 5x + -7(x + 3) = -2x + 12 Reorder the terms: 5x + -7(3 + x) = -2x + 12 5x + (3 * -7 + x * -7) = -2x + 12 5x + (-21 + -7x) = -2x + 12 Reorder the terms: -21 + 5x + -7x = -2x + 12 Combine like terms: 5x + -7x = -2x -21 + -2x = -2x + 12 Reorder the terms: -21 + -2x = 12 + -2x Add '2x' to each side of the equation. -21 + -2x + 2x = 12 + -2x + 2x Combine like terms: -2x + 2x = 0 -21 + 0 = 12 + -2x + 2x -21 = 12 + -2x + 2x Combine like terms: -2x + 2x = 0 -21 = 12 + 0 -21 = 12 Solving -21 = 12 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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