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Simplifying 12(x + 1) + -3x = 3(3x + 2) + -15 Reorder the terms: 12(1 + x) + -3x = 3(3x + 2) + -15 (1 * 12 + x * 12) + -3x = 3(3x + 2) + -15 (12 + 12x) + -3x = 3(3x + 2) + -15 Combine like terms: 12x + -3x = 9x 12 + 9x = 3(3x + 2) + -15 Reorder the terms: 12 + 9x = 3(2 + 3x) + -15 12 + 9x = (2 * 3 + 3x * 3) + -15 12 + 9x = (6 + 9x) + -15 Reorder the terms: 12 + 9x = 6 + -15 + 9x Combine like terms: 6 + -15 = -9 12 + 9x = -9 + 9x Add '-9x' to each side of the equation. 12 + 9x + -9x = -9 + 9x + -9x Combine like terms: 9x + -9x = 0 12 + 0 = -9 + 9x + -9x 12 = -9 + 9x + -9x Combine like terms: 9x + -9x = 0 12 = -9 + 0 12 = -9 Solving 12 = -9 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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