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Simplifying -1[3x + -1(14x + 3)] = 3 + (10x + 7) Reorder the terms: -1[3x + -1(3 + 14x)] = 3 + (10x + 7) -1[3x + (3 * -1 + 14x * -1)] = 3 + (10x + 7) -1[3x + (-3 + -14x)] = 3 + (10x + 7) Reorder the terms: -1[-3 + 3x + -14x] = 3 + (10x + 7) Combine like terms: 3x + -14x = -11x -1[-3 + -11x] = 3 + (10x + 7) [-3 * -1 + -11x * -1] = 3 + (10x + 7) [3 + 11x] = 3 + (10x + 7) Reorder the terms: 3 + 11x = 3 + (7 + 10x) Remove parenthesis around (7 + 10x) 3 + 11x = 3 + 7 + 10x Combine like terms: 3 + 7 = 10 3 + 11x = 10 + 10x Solving 3 + 11x = 10 + 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. 3 + 11x + -10x = 10 + 10x + -10x Combine like terms: 11x + -10x = 1x 3 + 1x = 10 + 10x + -10x Combine like terms: 10x + -10x = 0 3 + 1x = 10 + 0 3 + 1x = 10 Add '-3' to each side of the equation. 3 + -3 + 1x = 10 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = 10 + -3 1x = 10 + -3 Combine like terms: 10 + -3 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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