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Simplifying -5x + -3[4(2x + -3) + -5x] = 0 Reorder the terms: -5x + -3[4(-3 + 2x) + -5x] = 0 -5x + -3[(-3 * 4 + 2x * 4) + -5x] = 0 -5x + -3[(-12 + 8x) + -5x] = 0 Combine like terms: 8x + -5x = 3x -5x + -3[-12 + 3x] = 0 -5x + [-12 * -3 + 3x * -3] = 0 -5x + [36 + -9x] = 0 Reorder the terms: 36 + -5x + -9x = 0 Combine like terms: -5x + -9x = -14x 36 + -14x = 0 Solving 36 + -14x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -14x = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -14x = 0 + -36 -14x = 0 + -36 Combine like terms: 0 + -36 = -36 -14x = -36 Divide each side by '-14'. x = 2.571428571 Simplifying x = 2.571428571
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