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Simplifying 7(x + -3) + -2x = 5(x + -3) Reorder the terms: 7(-3 + x) + -2x = 5(x + -3) (-3 * 7 + x * 7) + -2x = 5(x + -3) (-21 + 7x) + -2x = 5(x + -3) Combine like terms: 7x + -2x = 5x -21 + 5x = 5(x + -3) Reorder the terms: -21 + 5x = 5(-3 + x) -21 + 5x = (-3 * 5 + x * 5) -21 + 5x = (-15 + 5x) Add '-5x' to each side of the equation. -21 + 5x + -5x = -15 + 5x + -5x Combine like terms: 5x + -5x = 0 -21 + 0 = -15 + 5x + -5x -21 = -15 + 5x + -5x Combine like terms: 5x + -5x = 0 -21 = -15 + 0 -21 = -15 Solving -21 = -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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