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Simplifying 3(5x + 4) + -6x = 3(3x + 6) + -20 Reorder the terms: 3(4 + 5x) + -6x = 3(3x + 6) + -20 (4 * 3 + 5x * 3) + -6x = 3(3x + 6) + -20 (12 + 15x) + -6x = 3(3x + 6) + -20 Combine like terms: 15x + -6x = 9x 12 + 9x = 3(3x + 6) + -20 Reorder the terms: 12 + 9x = 3(6 + 3x) + -20 12 + 9x = (6 * 3 + 3x * 3) + -20 12 + 9x = (18 + 9x) + -20 Reorder the terms: 12 + 9x = 18 + -20 + 9x Combine like terms: 18 + -20 = -2 12 + 9x = -2 + 9x Add '-9x' to each side of the equation. 12 + 9x + -9x = -2 + 9x + -9x Combine like terms: 9x + -9x = 0 12 + 0 = -2 + 9x + -9x 12 = -2 + 9x + -9x Combine like terms: 9x + -9x = 0 12 = -2 + 0 12 = -2 Solving 12 = -2 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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