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Simplifying 6(3x + 3) + 5(3x + 6) + 3 = 33x + 52 Reorder the terms: 6(3 + 3x) + 5(3x + 6) + 3 = 33x + 52 (3 * 6 + 3x * 6) + 5(3x + 6) + 3 = 33x + 52 (18 + 18x) + 5(3x + 6) + 3 = 33x + 52 Reorder the terms: 18 + 18x + 5(6 + 3x) + 3 = 33x + 52 18 + 18x + (6 * 5 + 3x * 5) + 3 = 33x + 52 18 + 18x + (30 + 15x) + 3 = 33x + 52 Reorder the terms: 18 + 30 + 3 + 18x + 15x = 33x + 52 Combine like terms: 18 + 30 = 48 48 + 3 + 18x + 15x = 33x + 52 Combine like terms: 48 + 3 = 51 51 + 18x + 15x = 33x + 52 Combine like terms: 18x + 15x = 33x 51 + 33x = 33x + 52 Reorder the terms: 51 + 33x = 52 + 33x Add '-33x' to each side of the equation. 51 + 33x + -33x = 52 + 33x + -33x Combine like terms: 33x + -33x = 0 51 + 0 = 52 + 33x + -33x 51 = 52 + 33x + -33x Combine like terms: 33x + -33x = 0 51 = 52 + 0 51 = 52 Solving 51 = 52 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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