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Simplifying 7(x + -2) + -2 = 2x + 5(-3 + x) Reorder the terms: 7(-2 + x) + -2 = 2x + 5(-3 + x) (-2 * 7 + x * 7) + -2 = 2x + 5(-3 + x) (-14 + 7x) + -2 = 2x + 5(-3 + x) Reorder the terms: -14 + -2 + 7x = 2x + 5(-3 + x) Combine like terms: -14 + -2 = -16 -16 + 7x = 2x + 5(-3 + x) -16 + 7x = 2x + (-3 * 5 + x * 5) -16 + 7x = 2x + (-15 + 5x) Reorder the terms: -16 + 7x = -15 + 2x + 5x Combine like terms: 2x + 5x = 7x -16 + 7x = -15 + 7x Add '-7x' to each side of the equation. -16 + 7x + -7x = -15 + 7x + -7x Combine like terms: 7x + -7x = 0 -16 + 0 = -15 + 7x + -7x -16 = -15 + 7x + -7x Combine like terms: 7x + -7x = 0 -16 = -15 + 0 -16 = -15 Solving -16 = -15 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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