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Simplifying 3[2 + -1(2x + -4)] = 2(5 + -3x) Reorder the terms: 3[2 + -1(-4 + 2x)] = 2(5 + -3x) 3[2 + (-4 * -1 + 2x * -1)] = 2(5 + -3x) 3[2 + (4 + -2x)] = 2(5 + -3x) Combine like terms: 2 + 4 = 6 3[6 + -2x] = 2(5 + -3x) [6 * 3 + -2x * 3] = 2(5 + -3x) [18 + -6x] = 2(5 + -3x) 18 + -6x = (5 * 2 + -3x * 2) 18 + -6x = (10 + -6x) Add '6x' to each side of the equation. 18 + -6x + 6x = 10 + -6x + 6x Combine like terms: -6x + 6x = 0 18 + 0 = 10 + -6x + 6x 18 = 10 + -6x + 6x Combine like terms: -6x + 6x = 0 18 = 10 + 0 18 = 10 Solving 18 = 10 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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