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Simplifying -4[2x + -3(3x + 4)] + 5x = -17 Reorder the terms: -4[2x + -3(4 + 3x)] + 5x = -17 -4[2x + (4 * -3 + 3x * -3)] + 5x = -17 -4[2x + (-12 + -9x)] + 5x = -17 Reorder the terms: -4[-12 + 2x + -9x] + 5x = -17 Combine like terms: 2x + -9x = -7x -4[-12 + -7x] + 5x = -17 [-12 * -4 + -7x * -4] + 5x = -17 [48 + 28x] + 5x = -17 Combine like terms: 28x + 5x = 33x 48 + 33x = -17 Solving 48 + 33x = -17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + 33x = -17 + -48 Combine like terms: 48 + -48 = 0 0 + 33x = -17 + -48 33x = -17 + -48 Combine like terms: -17 + -48 = -65 33x = -65 Divide each side by '33'. x = -1.96969697 Simplifying x = -1.96969697
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