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Simplifying 12[3 + -1(2 + -3x)] + 9x = 5(9x + 3) + -3 12[3 + (2 * -1 + -3x * -1)] + 9x = 5(9x + 3) + -3 12[3 + (-2 + 3x)] + 9x = 5(9x + 3) + -3 Combine like terms: 3 + -2 = 1 12[1 + 3x] + 9x = 5(9x + 3) + -3 [1 * 12 + 3x * 12] + 9x = 5(9x + 3) + -3 [12 + 36x] + 9x = 5(9x + 3) + -3 Combine like terms: 36x + 9x = 45x 12 + 45x = 5(9x + 3) + -3 Reorder the terms: 12 + 45x = 5(3 + 9x) + -3 12 + 45x = (3 * 5 + 9x * 5) + -3 12 + 45x = (15 + 45x) + -3 Reorder the terms: 12 + 45x = 15 + -3 + 45x Combine like terms: 15 + -3 = 12 12 + 45x = 12 + 45x Add '-12' to each side of the equation. 12 + -12 + 45x = 12 + -12 + 45x Combine like terms: 12 + -12 = 0 0 + 45x = 12 + -12 + 45x 45x = 12 + -12 + 45x Combine like terms: 12 + -12 = 0 45x = 0 + 45x 45x = 45x Add '-45x' to each side of the equation. 45x + -45x = 45x + -45x Combine like terms: 45x + -45x = 0 0 = 45x + -45x Combine like terms: 45x + -45x = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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