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Simplifying -1[10x + -1(14x + 5)] = 5 + (3x + 1) Reorder the terms: -1[10x + -1(5 + 14x)] = 5 + (3x + 1) -1[10x + (5 * -1 + 14x * -1)] = 5 + (3x + 1) -1[10x + (-5 + -14x)] = 5 + (3x + 1) Reorder the terms: -1[-5 + 10x + -14x] = 5 + (3x + 1) Combine like terms: 10x + -14x = -4x -1[-5 + -4x] = 5 + (3x + 1) [-5 * -1 + -4x * -1] = 5 + (3x + 1) [5 + 4x] = 5 + (3x + 1) Reorder the terms: 5 + 4x = 5 + (1 + 3x) Remove parenthesis around (1 + 3x) 5 + 4x = 5 + 1 + 3x Combine like terms: 5 + 1 = 6 5 + 4x = 6 + 3x Solving 5 + 4x = 6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 5 + 4x + -3x = 6 + 3x + -3x Combine like terms: 4x + -3x = 1x 5 + 1x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 5 + 1x = 6 + 0 5 + 1x = 6 Add '-5' to each side of the equation. 5 + -5 + 1x = 6 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = 6 + -5 1x = 6 + -5 Combine like terms: 6 + -5 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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