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Simplifying 5[x + -4(4x + -5)] = 3 + -2x Reorder the terms: 5[x + -4(-5 + 4x)] = 3 + -2x 5[x + (-5 * -4 + 4x * -4)] = 3 + -2x 5[x + (20 + -16x)] = 3 + -2x Reorder the terms: 5[20 + x + -16x] = 3 + -2x Combine like terms: x + -16x = -15x 5[20 + -15x] = 3 + -2x [20 * 5 + -15x * 5] = 3 + -2x [100 + -75x] = 3 + -2x Solving 100 + -75x = 3 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 100 + -75x + 2x = 3 + -2x + 2x Combine like terms: -75x + 2x = -73x 100 + -73x = 3 + -2x + 2x Combine like terms: -2x + 2x = 0 100 + -73x = 3 + 0 100 + -73x = 3 Add '-100' to each side of the equation. 100 + -100 + -73x = 3 + -100 Combine like terms: 100 + -100 = 0 0 + -73x = 3 + -100 -73x = 3 + -100 Combine like terms: 3 + -100 = -97 -73x = -97 Divide each side by '-73'. x = 1.328767123 Simplifying x = 1.328767123
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