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