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Simplifying 4(x + 1) + 5 = 2x + 2(1 + x) Reorder the terms: 4(1 + x) + 5 = 2x + 2(1 + x) (1 * 4 + x * 4) + 5 = 2x + 2(1 + x) (4 + 4x) + 5 = 2x + 2(1 + x) Reorder the terms: 4 + 5 + 4x = 2x + 2(1 + x) Combine like terms: 4 + 5 = 9 9 + 4x = 2x + 2(1 + x) 9 + 4x = 2x + (1 * 2 + x * 2) 9 + 4x = 2x + (2 + 2x) Reorder the terms: 9 + 4x = 2 + 2x + 2x Combine like terms: 2x + 2x = 4x 9 + 4x = 2 + 4x Add '-4x' to each side of the equation. 9 + 4x + -4x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 9 + 0 = 2 + 4x + -4x 9 = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 9 = 2 + 0 9 = 2 Solving 9 = 2 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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