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Simplifying -1[3x + -1(11x + 10)] = 10 + (7x + 5) Reorder the terms: -1[3x + -1(10 + 11x)] = 10 + (7x + 5) -1[3x + (10 * -1 + 11x * -1)] = 10 + (7x + 5) -1[3x + (-10 + -11x)] = 10 + (7x + 5) Reorder the terms: -1[-10 + 3x + -11x] = 10 + (7x + 5) Combine like terms: 3x + -11x = -8x -1[-10 + -8x] = 10 + (7x + 5) [-10 * -1 + -8x * -1] = 10 + (7x + 5) [10 + 8x] = 10 + (7x + 5) Reorder the terms: 10 + 8x = 10 + (5 + 7x) Remove parenthesis around (5 + 7x) 10 + 8x = 10 + 5 + 7x Combine like terms: 10 + 5 = 15 10 + 8x = 15 + 7x Solving 10 + 8x = 15 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 10 + 8x + -7x = 15 + 7x + -7x Combine like terms: 8x + -7x = 1x 10 + 1x = 15 + 7x + -7x Combine like terms: 7x + -7x = 0 10 + 1x = 15 + 0 10 + 1x = 15 Add '-10' to each side of the equation. 10 + -10 + 1x = 15 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = 15 + -10 1x = 15 + -10 Combine like terms: 15 + -10 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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