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Simplifying (2x + 4) + (2x + 1) = 4(x + -1) + 7 Reorder the terms: (4 + 2x) + (2x + 1) = 4(x + -1) + 7 Remove parenthesis around (4 + 2x) 4 + 2x + (2x + 1) = 4(x + -1) + 7 Reorder the terms: 4 + 2x + (1 + 2x) = 4(x + -1) + 7 Remove parenthesis around (1 + 2x) 4 + 2x + 1 + 2x = 4(x + -1) + 7 Reorder the terms: 4 + 1 + 2x + 2x = 4(x + -1) + 7 Combine like terms: 4 + 1 = 5 5 + 2x + 2x = 4(x + -1) + 7 Combine like terms: 2x + 2x = 4x 5 + 4x = 4(x + -1) + 7 Reorder the terms: 5 + 4x = 4(-1 + x) + 7 5 + 4x = (-1 * 4 + x * 4) + 7 5 + 4x = (-4 + 4x) + 7 Reorder the terms: 5 + 4x = -4 + 7 + 4x Combine like terms: -4 + 7 = 3 5 + 4x = 3 + 4x Add '-4x' to each side of the equation. 5 + 4x + -4x = 3 + 4x + -4x Combine like terms: 4x + -4x = 0 5 + 0 = 3 + 4x + -4x 5 = 3 + 4x + -4x Combine like terms: 4x + -4x = 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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