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Simplifying -7[7x + -1(12x + 5)] = 5 + (4x + 3) Reorder the terms: -7[7x + -1(5 + 12x)] = 5 + (4x + 3) -7[7x + (5 * -1 + 12x * -1)] = 5 + (4x + 3) -7[7x + (-5 + -12x)] = 5 + (4x + 3) Reorder the terms: -7[-5 + 7x + -12x] = 5 + (4x + 3) Combine like terms: 7x + -12x = -5x -7[-5 + -5x] = 5 + (4x + 3) [-5 * -7 + -5x * -7] = 5 + (4x + 3) [35 + 35x] = 5 + (4x + 3) Reorder the terms: 35 + 35x = 5 + (3 + 4x) Remove parenthesis around (3 + 4x) 35 + 35x = 5 + 3 + 4x Combine like terms: 5 + 3 = 8 35 + 35x = 8 + 4x Solving 35 + 35x = 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. 35 + 35x + -4x = 8 + 4x + -4x Combine like terms: 35x + -4x = 31x 35 + 31x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 35 + 31x = 8 + 0 35 + 31x = 8 Add '-35' to each side of the equation. 35 + -35 + 31x = 8 + -35 Combine like terms: 35 + -35 = 0 0 + 31x = 8 + -35 31x = 8 + -35 Combine like terms: 8 + -35 = -27 31x = -27 Divide each side by '31'. x = -0.8709677419 Simplifying x = -0.8709677419
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