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Simplifying 16 + -4[9 + -3(2x + -5)] = -4(3 + -6x) Reorder the terms: 16 + -4[9 + -3(-5 + 2x)] = -4(3 + -6x) 16 + -4[9 + (-5 * -3 + 2x * -3)] = -4(3 + -6x) 16 + -4[9 + (15 + -6x)] = -4(3 + -6x) Combine like terms: 9 + 15 = 24 16 + -4[24 + -6x] = -4(3 + -6x) 16 + [24 * -4 + -6x * -4] = -4(3 + -6x) 16 + [-96 + 24x] = -4(3 + -6x) Combine like terms: 16 + -96 = -80 -80 + 24x = -4(3 + -6x) -80 + 24x = (3 * -4 + -6x * -4) -80 + 24x = (-12 + 24x) Add '-24x' to each side of the equation. -80 + 24x + -24x = -12 + 24x + -24x Combine like terms: 24x + -24x = 0 -80 + 0 = -12 + 24x + -24x -80 = -12 + 24x + -24x Combine like terms: 24x + -24x = 0 -80 = -12 + 0 -80 = -12 Solving -80 = -12 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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