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Simplifying (2x + 6) + (2x + 1) = 4(x + 1) + 8 Reorder the terms: (6 + 2x) + (2x + 1) = 4(x + 1) + 8 Remove parenthesis around (6 + 2x) 6 + 2x + (2x + 1) = 4(x + 1) + 8 Reorder the terms: 6 + 2x + (1 + 2x) = 4(x + 1) + 8 Remove parenthesis around (1 + 2x) 6 + 2x + 1 + 2x = 4(x + 1) + 8 Reorder the terms: 6 + 1 + 2x + 2x = 4(x + 1) + 8 Combine like terms: 6 + 1 = 7 7 + 2x + 2x = 4(x + 1) + 8 Combine like terms: 2x + 2x = 4x 7 + 4x = 4(x + 1) + 8 Reorder the terms: 7 + 4x = 4(1 + x) + 8 7 + 4x = (1 * 4 + x * 4) + 8 7 + 4x = (4 + 4x) + 8 Reorder the terms: 7 + 4x = 4 + 8 + 4x Combine like terms: 4 + 8 = 12 7 + 4x = 12 + 4x Add '-4x' to each side of the equation. 7 + 4x + -4x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 7 + 0 = 12 + 4x + -4x 7 = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 7 = 12 + 0 7 = 12 Solving 7 = 12 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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