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Simplifying 19x + 32 = 3(4x + 2) + 7x + 5 Reorder the terms: 32 + 19x = 3(4x + 2) + 7x + 5 Reorder the terms: 32 + 19x = 3(2 + 4x) + 7x + 5 32 + 19x = (2 * 3 + 4x * 3) + 7x + 5 32 + 19x = (6 + 12x) + 7x + 5 Reorder the terms: 32 + 19x = 6 + 5 + 12x + 7x Combine like terms: 6 + 5 = 11 32 + 19x = 11 + 12x + 7x Combine like terms: 12x + 7x = 19x 32 + 19x = 11 + 19x Add '-19x' to each side of the equation. 32 + 19x + -19x = 11 + 19x + -19x Combine like terms: 19x + -19x = 0 32 + 0 = 11 + 19x + -19x 32 = 11 + 19x + -19x Combine like terms: 19x + -19x = 0 32 = 11 + 0 32 = 11 Solving 32 = 11 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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