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Simplifying -1[7x + -1(12x + 5)] = 5 + (4x + 3) Reorder the terms: -1[7x + -1(5 + 12x)] = 5 + (4x + 3) -1[7x + (5 * -1 + 12x * -1)] = 5 + (4x + 3) -1[7x + (-5 + -12x)] = 5 + (4x + 3) Reorder the terms: -1[-5 + 7x + -12x] = 5 + (4x + 3) Combine like terms: 7x + -12x = -5x -1[-5 + -5x] = 5 + (4x + 3) [-5 * -1 + -5x * -1] = 5 + (4x + 3) [5 + 5x] = 5 + (4x + 3) Reorder the terms: 5 + 5x = 5 + (3 + 4x) Remove parenthesis around (3 + 4x) 5 + 5x = 5 + 3 + 4x Combine like terms: 5 + 3 = 8 5 + 5x = 8 + 4x Solving 5 + 5x = 8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 5 + 5x + -4x = 8 + 4x + -4x Combine like terms: 5x + -4x = 1x 5 + 1x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 5 + 1x = 8 + 0 5 + 1x = 8 Add '-5' to each side of the equation. 5 + -5 + 1x = 8 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = 8 + -5 1x = 8 + -5 Combine like terms: 8 + -5 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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