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Simplifying 7(x + 1) + -3x = 5 + 4(x + -1) Reorder the terms: 7(1 + x) + -3x = 5 + 4(x + -1) (1 * 7 + x * 7) + -3x = 5 + 4(x + -1) (7 + 7x) + -3x = 5 + 4(x + -1) Combine like terms: 7x + -3x = 4x 7 + 4x = 5 + 4(x + -1) Reorder the terms: 7 + 4x = 5 + 4(-1 + x) 7 + 4x = 5 + (-1 * 4 + x * 4) 7 + 4x = 5 + (-4 + 4x) Combine like terms: 5 + -4 = 1 7 + 4x = 1 + 4x Add '-4x' to each side of the equation. 7 + 4x + -4x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 7 + 0 = 1 + 4x + -4x 7 = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 7 = 1 + 0 7 = 1 Solving 7 = 1 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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