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Simplifying 5(3x + 4) + 6(3x + 3) + 4 = 33x + 43 Reorder the terms: 5(4 + 3x) + 6(3x + 3) + 4 = 33x + 43 (4 * 5 + 3x * 5) + 6(3x + 3) + 4 = 33x + 43 (20 + 15x) + 6(3x + 3) + 4 = 33x + 43 Reorder the terms: 20 + 15x + 6(3 + 3x) + 4 = 33x + 43 20 + 15x + (3 * 6 + 3x * 6) + 4 = 33x + 43 20 + 15x + (18 + 18x) + 4 = 33x + 43 Reorder the terms: 20 + 18 + 4 + 15x + 18x = 33x + 43 Combine like terms: 20 + 18 = 38 38 + 4 + 15x + 18x = 33x + 43 Combine like terms: 38 + 4 = 42 42 + 15x + 18x = 33x + 43 Combine like terms: 15x + 18x = 33x 42 + 33x = 33x + 43 Reorder the terms: 42 + 33x = 43 + 33x Add '-33x' to each side of the equation. 42 + 33x + -33x = 43 + 33x + -33x Combine like terms: 33x + -33x = 0 42 + 0 = 43 + 33x + -33x 42 = 43 + 33x + -33x Combine like terms: 33x + -33x = 0 42 = 43 + 0 42 = 43 Solving 42 = 43 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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