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Simplifying (3x + 5) + (x + 1) = 4(x + -1) + 7 Reorder the terms: (5 + 3x) + (x + 1) = 4(x + -1) + 7 Remove parenthesis around (5 + 3x) 5 + 3x + (x + 1) = 4(x + -1) + 7 Reorder the terms: 5 + 3x + (1 + x) = 4(x + -1) + 7 Remove parenthesis around (1 + x) 5 + 3x + 1 + x = 4(x + -1) + 7 Reorder the terms: 5 + 1 + 3x + x = 4(x + -1) + 7 Combine like terms: 5 + 1 = 6 6 + 3x + x = 4(x + -1) + 7 Combine like terms: 3x + x = 4x 6 + 4x = 4(x + -1) + 7 Reorder the terms: 6 + 4x = 4(-1 + x) + 7 6 + 4x = (-1 * 4 + x * 4) + 7 6 + 4x = (-4 + 4x) + 7 Reorder the terms: 6 + 4x = -4 + 7 + 4x Combine like terms: -4 + 7 = 3 6 + 4x = 3 + 4x Add '-4x' to each side of the equation. 6 + 4x + -4x = 3 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + 0 = 3 + 4x + -4x 6 = 3 + 4x + -4x Combine like terms: 4x + -4x = 0 6 = 3 + 0 6 = 3 Solving 6 = 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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