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Simplifying 5(6x + 6) + 3(4x + 4) + 2 = 42x + 45 Reorder the terms: 5(6 + 6x) + 3(4x + 4) + 2 = 42x + 45 (6 * 5 + 6x * 5) + 3(4x + 4) + 2 = 42x + 45 (30 + 30x) + 3(4x + 4) + 2 = 42x + 45 Reorder the terms: 30 + 30x + 3(4 + 4x) + 2 = 42x + 45 30 + 30x + (4 * 3 + 4x * 3) + 2 = 42x + 45 30 + 30x + (12 + 12x) + 2 = 42x + 45 Reorder the terms: 30 + 12 + 2 + 30x + 12x = 42x + 45 Combine like terms: 30 + 12 = 42 42 + 2 + 30x + 12x = 42x + 45 Combine like terms: 42 + 2 = 44 44 + 30x + 12x = 42x + 45 Combine like terms: 30x + 12x = 42x 44 + 42x = 42x + 45 Reorder the terms: 44 + 42x = 45 + 42x Add '-42x' to each side of the equation. 44 + 42x + -42x = 45 + 42x + -42x Combine like terms: 42x + -42x = 0 44 + 0 = 45 + 42x + -42x 44 = 45 + 42x + -42x Combine like terms: 42x + -42x = 0 44 = 45 + 0 44 = 45 Solving 44 = 45 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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