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Simplifying 4(x + 4) + 3(x + 2) = 7x + 2 Reorder the terms: 4(4 + x) + 3(x + 2) = 7x + 2 (4 * 4 + x * 4) + 3(x + 2) = 7x + 2 (16 + 4x) + 3(x + 2) = 7x + 2 Reorder the terms: 16 + 4x + 3(2 + x) = 7x + 2 16 + 4x + (2 * 3 + x * 3) = 7x + 2 16 + 4x + (6 + 3x) = 7x + 2 Reorder the terms: 16 + 6 + 4x + 3x = 7x + 2 Combine like terms: 16 + 6 = 22 22 + 4x + 3x = 7x + 2 Combine like terms: 4x + 3x = 7x 22 + 7x = 7x + 2 Reorder the terms: 22 + 7x = 2 + 7x Add '-7x' to each side of the equation. 22 + 7x + -7x = 2 + 7x + -7x Combine like terms: 7x + -7x = 0 22 + 0 = 2 + 7x + -7x 22 = 2 + 7x + -7x Combine like terms: 7x + -7x = 0 22 = 2 + 0 22 = 2 Solving 22 = 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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