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Simplifying -4[-5x + 7 + -3(x + 1)] = -5x + 4 Reorder the terms: -4[-5x + 7 + -3(1 + x)] = -5x + 4 -4[-5x + 7 + (1 * -3 + x * -3)] = -5x + 4 -4[-5x + 7 + (-3 + -3x)] = -5x + 4 Reorder the terms: -4[7 + -3 + -5x + -3x] = -5x + 4 Combine like terms: 7 + -3 = 4 -4[4 + -5x + -3x] = -5x + 4 Combine like terms: -5x + -3x = -8x -4[4 + -8x] = -5x + 4 [4 * -4 + -8x * -4] = -5x + 4 [-16 + 32x] = -5x + 4 Reorder the terms: -16 + 32x = 4 + -5x Solving -16 + 32x = 4 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -16 + 32x + 5x = 4 + -5x + 5x Combine like terms: 32x + 5x = 37x -16 + 37x = 4 + -5x + 5x Combine like terms: -5x + 5x = 0 -16 + 37x = 4 + 0 -16 + 37x = 4 Add '16' to each side of the equation. -16 + 16 + 37x = 4 + 16 Combine like terms: -16 + 16 = 0 0 + 37x = 4 + 16 37x = 4 + 16 Combine like terms: 4 + 16 = 20 37x = 20 Divide each side by '37'. x = 0.5405405405 Simplifying x = 0.5405405405
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