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Simplifying 6x + -4[2 + -3(4x + -3)] = -17 Reorder the terms: 6x + -4[2 + -3(-3 + 4x)] = -17 6x + -4[2 + (-3 * -3 + 4x * -3)] = -17 6x + -4[2 + (9 + -12x)] = -17 Combine like terms: 2 + 9 = 11 6x + -4[11 + -12x] = -17 6x + [11 * -4 + -12x * -4] = -17 6x + [-44 + 48x] = -17 Reorder the terms: -44 + 6x + 48x = -17 Combine like terms: 6x + 48x = 54x -44 + 54x = -17 Solving -44 + 54x = -17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '44' to each side of the equation. -44 + 44 + 54x = -17 + 44 Combine like terms: -44 + 44 = 0 0 + 54x = -17 + 44 54x = -17 + 44 Combine like terms: -17 + 44 = 27 54x = 27 Divide each side by '54'. x = 0.5 Simplifying x = 0.5
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