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Simplifying 7x + -1[8x + -1(5x + 30)] = 12 Reorder the terms: 7x + -1[8x + -1(30 + 5x)] = 12 7x + -1[8x + (30 * -1 + 5x * -1)] = 12 7x + -1[8x + (-30 + -5x)] = 12 Reorder the terms: 7x + -1[-30 + 8x + -5x] = 12 Combine like terms: 8x + -5x = 3x 7x + -1[-30 + 3x] = 12 7x + [-30 * -1 + 3x * -1] = 12 7x + [30 + -3x] = 12 Reorder the terms: 30 + 7x + -3x = 12 Combine like terms: 7x + -3x = 4x 30 + 4x = 12 Solving 30 + 4x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 4x = 12 + -30 Combine like terms: 30 + -30 = 0 0 + 4x = 12 + -30 4x = 12 + -30 Combine like terms: 12 + -30 = -18 4x = -18 Divide each side by '4'. x = -4.5 Simplifying x = -4.5
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