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Simplifying -7[x + 3] = -2[x + 3] + -5x Reorder the terms: -7[3 + x] = -2[x + 3] + -5x [3 * -7 + x * -7] = -2[x + 3] + -5x [-21 + -7x] = -2[x + 3] + -5x Reorder the terms: -21 + -7x = -2[3 + x] + -5x -21 + -7x = [3 * -2 + x * -2] + -5x -21 + -7x = [-6 + -2x] + -5x Combine like terms: -2x + -5x = -7x -21 + -7x = -6 + -7x Add '7x' to each side of the equation. -21 + -7x + 7x = -6 + -7x + 7x Combine like terms: -7x + 7x = 0 -21 + 0 = -6 + -7x + 7x -21 = -6 + -7x + 7x Combine like terms: -7x + 7x = 0 -21 = -6 + 0 -21 = -6 Solving -21 = -6 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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