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Simplifying 7(x + 1) + -3x = 2(2x + 4) + -13 Reorder the terms: 7(1 + x) + -3x = 2(2x + 4) + -13 (1 * 7 + x * 7) + -3x = 2(2x + 4) + -13 (7 + 7x) + -3x = 2(2x + 4) + -13 Combine like terms: 7x + -3x = 4x 7 + 4x = 2(2x + 4) + -13 Reorder the terms: 7 + 4x = 2(4 + 2x) + -13 7 + 4x = (4 * 2 + 2x * 2) + -13 7 + 4x = (8 + 4x) + -13 Reorder the terms: 7 + 4x = 8 + -13 + 4x Combine like terms: 8 + -13 = -5 7 + 4x = -5 + 4x Add '-4x' to each side of the equation. 7 + 4x + -4x = -5 + 4x + -4x Combine like terms: 4x + -4x = 0 7 + 0 = -5 + 4x + -4x 7 = -5 + 4x + -4x Combine like terms: 4x + -4x = 0 7 = -5 + 0 7 = -5 Solving 7 = -5 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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