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Simplifying 6(6x + 5) + 3(2x + 2) + 2 = 42x + 39 Reorder the terms: 6(5 + 6x) + 3(2x + 2) + 2 = 42x + 39 (5 * 6 + 6x * 6) + 3(2x + 2) + 2 = 42x + 39 (30 + 36x) + 3(2x + 2) + 2 = 42x + 39 Reorder the terms: 30 + 36x + 3(2 + 2x) + 2 = 42x + 39 30 + 36x + (2 * 3 + 2x * 3) + 2 = 42x + 39 30 + 36x + (6 + 6x) + 2 = 42x + 39 Reorder the terms: 30 + 6 + 2 + 36x + 6x = 42x + 39 Combine like terms: 30 + 6 = 36 36 + 2 + 36x + 6x = 42x + 39 Combine like terms: 36 + 2 = 38 38 + 36x + 6x = 42x + 39 Combine like terms: 36x + 6x = 42x 38 + 42x = 42x + 39 Reorder the terms: 38 + 42x = 39 + 42x Add '-42x' to each side of the equation. 38 + 42x + -42x = 39 + 42x + -42x Combine like terms: 42x + -42x = 0 38 + 0 = 39 + 42x + -42x 38 = 39 + 42x + -42x Combine like terms: 42x + -42x = 0 38 = 39 + 0 38 = 39 Solving 38 = 39 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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