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Simplifying 3(5x + 4) + -9x = 2(3x + 6) + -16 Reorder the terms: 3(4 + 5x) + -9x = 2(3x + 6) + -16 (4 * 3 + 5x * 3) + -9x = 2(3x + 6) + -16 (12 + 15x) + -9x = 2(3x + 6) + -16 Combine like terms: 15x + -9x = 6x 12 + 6x = 2(3x + 6) + -16 Reorder the terms: 12 + 6x = 2(6 + 3x) + -16 12 + 6x = (6 * 2 + 3x * 2) + -16 12 + 6x = (12 + 6x) + -16 Reorder the terms: 12 + 6x = 12 + -16 + 6x Combine like terms: 12 + -16 = -4 12 + 6x = -4 + 6x Add '-6x' to each side of the equation. 12 + 6x + -6x = -4 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + 0 = -4 + 6x + -6x 12 = -4 + 6x + -6x Combine like terms: 6x + -6x = 0 12 = -4 + 0 12 = -4 Solving 12 = -4 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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