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Simplifying -2[-6 + -1(5x + 1)] = -10x + 94 Reorder the terms: -2[-6 + -1(1 + 5x)] = -10x + 94 -2[-6 + (1 * -1 + 5x * -1)] = -10x + 94 -2[-6 + (-1 + -5x)] = -10x + 94 Combine like terms: -6 + -1 = -7 -2[-7 + -5x] = -10x + 94 [-7 * -2 + -5x * -2] = -10x + 94 [14 + 10x] = -10x + 94 Reorder the terms: 14 + 10x = 94 + -10x Solving 14 + 10x = 94 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 14 + 10x + 10x = 94 + -10x + 10x Combine like terms: 10x + 10x = 20x 14 + 20x = 94 + -10x + 10x Combine like terms: -10x + 10x = 0 14 + 20x = 94 + 0 14 + 20x = 94 Add '-14' to each side of the equation. 14 + -14 + 20x = 94 + -14 Combine like terms: 14 + -14 = 0 0 + 20x = 94 + -14 20x = 94 + -14 Combine like terms: 94 + -14 = 80 20x = 80 Divide each side by '20'. x = 4 Simplifying x = 4
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