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Simplifying 6(5x + 3) + 6(2x + 5) + 6 = 42x + 55 Reorder the terms: 6(3 + 5x) + 6(2x + 5) + 6 = 42x + 55 (3 * 6 + 5x * 6) + 6(2x + 5) + 6 = 42x + 55 (18 + 30x) + 6(2x + 5) + 6 = 42x + 55 Reorder the terms: 18 + 30x + 6(5 + 2x) + 6 = 42x + 55 18 + 30x + (5 * 6 + 2x * 6) + 6 = 42x + 55 18 + 30x + (30 + 12x) + 6 = 42x + 55 Reorder the terms: 18 + 30 + 6 + 30x + 12x = 42x + 55 Combine like terms: 18 + 30 = 48 48 + 6 + 30x + 12x = 42x + 55 Combine like terms: 48 + 6 = 54 54 + 30x + 12x = 42x + 55 Combine like terms: 30x + 12x = 42x 54 + 42x = 42x + 55 Reorder the terms: 54 + 42x = 55 + 42x Add '-42x' to each side of the equation. 54 + 42x + -42x = 55 + 42x + -42x Combine like terms: 42x + -42x = 0 54 + 0 = 55 + 42x + -42x 54 = 55 + 42x + -42x Combine like terms: 42x + -42x = 0 54 = 55 + 0 54 = 55 Solving 54 = 55 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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