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Simplifying 2(x + 3) + -7 = 5(5 + -1x) + 7(x + 1) Reorder the terms: 2(3 + x) + -7 = 5(5 + -1x) + 7(x + 1) (3 * 2 + x * 2) + -7 = 5(5 + -1x) + 7(x + 1) (6 + 2x) + -7 = 5(5 + -1x) + 7(x + 1) Reorder the terms: 6 + -7 + 2x = 5(5 + -1x) + 7(x + 1) Combine like terms: 6 + -7 = -1 -1 + 2x = 5(5 + -1x) + 7(x + 1) -1 + 2x = (5 * 5 + -1x * 5) + 7(x + 1) -1 + 2x = (25 + -5x) + 7(x + 1) Reorder the terms: -1 + 2x = 25 + -5x + 7(1 + x) -1 + 2x = 25 + -5x + (1 * 7 + x * 7) -1 + 2x = 25 + -5x + (7 + 7x) Reorder the terms: -1 + 2x = 25 + 7 + -5x + 7x Combine like terms: 25 + 7 = 32 -1 + 2x = 32 + -5x + 7x Combine like terms: -5x + 7x = 2x -1 + 2x = 32 + 2x Add '-2x' to each side of the equation. -1 + 2x + -2x = 32 + 2x + -2x Combine like terms: 2x + -2x = 0 -1 + 0 = 32 + 2x + -2x -1 = 32 + 2x + -2x Combine like terms: 2x + -2x = 0 -1 = 32 + 0 -1 = 32 Solving -1 = 32 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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