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Simplifying -3[2 + -5(1 + -3x)] + -1x = 4(x + -4) -3[2 + (1 * -5 + -3x * -5)] + -1x = 4(x + -4) -3[2 + (-5 + 15x)] + -1x = 4(x + -4) Combine like terms: 2 + -5 = -3 -3[-3 + 15x] + -1x = 4(x + -4) [-3 * -3 + 15x * -3] + -1x = 4(x + -4) [9 + -45x] + -1x = 4(x + -4) Combine like terms: -45x + -1x = -46x 9 + -46x = 4(x + -4) Reorder the terms: 9 + -46x = 4(-4 + x) 9 + -46x = (-4 * 4 + x * 4) 9 + -46x = (-16 + 4x) Solving 9 + -46x = -16 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 9 + -46x + -4x = -16 + 4x + -4x Combine like terms: -46x + -4x = -50x 9 + -50x = -16 + 4x + -4x Combine like terms: 4x + -4x = 0 9 + -50x = -16 + 0 9 + -50x = -16 Add '-9' to each side of the equation. 9 + -9 + -50x = -16 + -9 Combine like terms: 9 + -9 = 0 0 + -50x = -16 + -9 -50x = -16 + -9 Combine like terms: -16 + -9 = -25 -50x = -25 Divide each side by '-50'. x = 0.5 Simplifying x = 0.5
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