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Simplifying 4(x + 2) + 3x = 7(x + 1) + (5) Reorder the terms: 4(2 + x) + 3x = 7(x + 1) + (5) (2 * 4 + x * 4) + 3x = 7(x + 1) + (5) (8 + 4x) + 3x = 7(x + 1) + (5) Combine like terms: 4x + 3x = 7x 8 + 7x = 7(x + 1) + (5) Reorder the terms: 8 + 7x = 7(1 + x) + (5) 8 + 7x = (1 * 7 + x * 7) + (5) 8 + 7x = (7 + 7x) + (5) 8 + 7x = 7 + 7x + 5 Reorder the terms: 8 + 7x = 7 + 5 + 7x Combine like terms: 7 + 5 = 12 8 + 7x = 12 + 7x Add '-7x' to each side of the equation. 8 + 7x + -7x = 12 + 7x + -7x Combine like terms: 7x + -7x = 0 8 + 0 = 12 + 7x + -7x 8 = 12 + 7x + -7x Combine like terms: 7x + -7x = 0 8 = 12 + 0 8 = 12 Solving 8 = 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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