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Simplifying 4[2x + -1(3 + -1x) + 5] = -1(2x + -7x) 4[2x + (3 * -1 + -1x * -1) + 5] = -1(2x + -7x) 4[2x + (-3 + 1x) + 5] = -1(2x + -7x) Reorder the terms: 4[-3 + 5 + 2x + 1x] = -1(2x + -7x) Combine like terms: -3 + 5 = 2 4[2 + 2x + 1x] = -1(2x + -7x) Combine like terms: 2x + 1x = 3x 4[2 + 3x] = -1(2x + -7x) [2 * 4 + 3x * 4] = -1(2x + -7x) [8 + 12x] = -1(2x + -7x) Combine like terms: 2x + -7x = -5x 8 + 12x = -1(-5x) Remove parenthesis around (-5x) 8 + 12x = -1 * -5x Multiply -1 * -5 8 + 12x = 5x Solving 8 + 12x = 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. 8 + 12x + -5x = 5x + -5x Combine like terms: 12x + -5x = 7x 8 + 7x = 5x + -5x Combine like terms: 5x + -5x = 0 8 + 7x = 0 Add '-8' to each side of the equation. 8 + -8 + 7x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 7x = 0 + -8 7x = 0 + -8 Combine like terms: 0 + -8 = -8 7x = -8 Divide each side by '7'. x = -1.142857143 Simplifying x = -1.142857143
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