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