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Simplifying 5(x + 1) + -7 = 2x + 3(-2 + x) Reorder the terms: 5(1 + x) + -7 = 2x + 3(-2 + x) (1 * 5 + x * 5) + -7 = 2x + 3(-2 + x) (5 + 5x) + -7 = 2x + 3(-2 + x) Reorder the terms: 5 + -7 + 5x = 2x + 3(-2 + x) Combine like terms: 5 + -7 = -2 -2 + 5x = 2x + 3(-2 + x) -2 + 5x = 2x + (-2 * 3 + x * 3) -2 + 5x = 2x + (-6 + 3x) Reorder the terms: -2 + 5x = -6 + 2x + 3x Combine like terms: 2x + 3x = 5x -2 + 5x = -6 + 5x Add '-5x' to each side of the equation. -2 + 5x + -5x = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 + 0 = -6 + 5x + -5x -2 = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 = -6 + 0 -2 = -6 Solving -2 = -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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