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Simplifying 5[4 + -1(-7x + -1)] = 105x + 35 Reorder the terms: 5[4 + -1(-1 + -7x)] = 105x + 35 5[4 + (-1 * -1 + -7x * -1)] = 105x + 35 5[4 + (1 + 7x)] = 105x + 35 Combine like terms: 4 + 1 = 5 5[5 + 7x] = 105x + 35 [5 * 5 + 7x * 5] = 105x + 35 [25 + 35x] = 105x + 35 Reorder the terms: 25 + 35x = 35 + 105x Solving 25 + 35x = 35 + 105x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-105x' to each side of the equation. 25 + 35x + -105x = 35 + 105x + -105x Combine like terms: 35x + -105x = -70x 25 + -70x = 35 + 105x + -105x Combine like terms: 105x + -105x = 0 25 + -70x = 35 + 0 25 + -70x = 35 Add '-25' to each side of the equation. 25 + -25 + -70x = 35 + -25 Combine like terms: 25 + -25 = 0 0 + -70x = 35 + -25 -70x = 35 + -25 Combine like terms: 35 + -25 = 10 -70x = 10 Divide each side by '-70'. x = -0.1428571429 Simplifying x = -0.1428571429
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