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Simplifying 2 + -3(x + -5) = 4[5x + -7(3x + 2)] + -9x Reorder the terms: 2 + -3(-5 + x) = 4[5x + -7(3x + 2)] + -9x 2 + (-5 * -3 + x * -3) = 4[5x + -7(3x + 2)] + -9x 2 + (15 + -3x) = 4[5x + -7(3x + 2)] + -9x Combine like terms: 2 + 15 = 17 17 + -3x = 4[5x + -7(3x + 2)] + -9x Reorder the terms: 17 + -3x = 4[5x + -7(2 + 3x)] + -9x 17 + -3x = 4[5x + (2 * -7 + 3x * -7)] + -9x 17 + -3x = 4[5x + (-14 + -21x)] + -9x Reorder the terms: 17 + -3x = 4[-14 + 5x + -21x] + -9x Combine like terms: 5x + -21x = -16x 17 + -3x = 4[-14 + -16x] + -9x 17 + -3x = [-14 * 4 + -16x * 4] + -9x 17 + -3x = [-56 + -64x] + -9x Combine like terms: -64x + -9x = -73x 17 + -3x = -56 + -73x Solving 17 + -3x = -56 + -73x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '73x' to each side of the equation. 17 + -3x + 73x = -56 + -73x + 73x Combine like terms: -3x + 73x = 70x 17 + 70x = -56 + -73x + 73x Combine like terms: -73x + 73x = 0 17 + 70x = -56 + 0 17 + 70x = -56 Add '-17' to each side of the equation. 17 + -17 + 70x = -56 + -17 Combine like terms: 17 + -17 = 0 0 + 70x = -56 + -17 70x = -56 + -17 Combine like terms: -56 + -17 = -73 70x = -73 Divide each side by '70'. x = -1.042857143 Simplifying x = -1.042857143
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