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Simplifying 2(x + -1) + 3x = 5(x + -2) + 3 Reorder the terms: 2(-1 + x) + 3x = 5(x + -2) + 3 (-1 * 2 + x * 2) + 3x = 5(x + -2) + 3 (-2 + 2x) + 3x = 5(x + -2) + 3 Combine like terms: 2x + 3x = 5x -2 + 5x = 5(x + -2) + 3 Reorder the terms: -2 + 5x = 5(-2 + x) + 3 -2 + 5x = (-2 * 5 + x * 5) + 3 -2 + 5x = (-10 + 5x) + 3 Reorder the terms: -2 + 5x = -10 + 3 + 5x Combine like terms: -10 + 3 = -7 -2 + 5x = -7 + 5x Add '-5x' to each side of the equation. -2 + 5x + -5x = -7 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 + 0 = -7 + 5x + -5x -2 = -7 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 = -7 + 0 -2 = -7 Solving -2 = -7 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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