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Simplifying 5(x + -3) = 7x + -2(x + 1) Reorder the terms: 5(-3 + x) = 7x + -2(x + 1) (-3 * 5 + x * 5) = 7x + -2(x + 1) (-15 + 5x) = 7x + -2(x + 1) Reorder the terms: -15 + 5x = 7x + -2(1 + x) -15 + 5x = 7x + (1 * -2 + x * -2) -15 + 5x = 7x + (-2 + -2x) Reorder the terms: -15 + 5x = -2 + 7x + -2x Combine like terms: 7x + -2x = 5x -15 + 5x = -2 + 5x Add '-5x' to each side of the equation. -15 + 5x + -5x = -2 + 5x + -5x Combine like terms: 5x + -5x = 0 -15 + 0 = -2 + 5x + -5x -15 = -2 + 5x + -5x Combine like terms: 5x + -5x = 0 -15 = -2 + 0 -15 = -2 Solving -15 = -2 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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