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Simplifying 4(x + 7) = (2x + 12) + 2(x + 1) Reorder the terms: 4(7 + x) = (2x + 12) + 2(x + 1) (7 * 4 + x * 4) = (2x + 12) + 2(x + 1) (28 + 4x) = (2x + 12) + 2(x + 1) Reorder the terms: 28 + 4x = (12 + 2x) + 2(x + 1) Remove parenthesis around (12 + 2x) 28 + 4x = 12 + 2x + 2(x + 1) Reorder the terms: 28 + 4x = 12 + 2x + 2(1 + x) 28 + 4x = 12 + 2x + (1 * 2 + x * 2) 28 + 4x = 12 + 2x + (2 + 2x) Reorder the terms: 28 + 4x = 12 + 2 + 2x + 2x Combine like terms: 12 + 2 = 14 28 + 4x = 14 + 2x + 2x Combine like terms: 2x + 2x = 4x 28 + 4x = 14 + 4x Add '-4x' to each side of the equation. 28 + 4x + -4x = 14 + 4x + -4x Combine like terms: 4x + -4x = 0 28 + 0 = 14 + 4x + -4x 28 = 14 + 4x + -4x Combine like terms: 4x + -4x = 0 28 = 14 + 0 28 = 14 Solving 28 = 14 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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