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Simplifying 3x + -1[5x + -1(105 + -30x) + -35] = 12 3x + -1[5x + (105 * -1 + -30x * -1) + -35] = 12 3x + -1[5x + (-105 + 30x) + -35] = 12 Reorder the terms: 3x + -1[-105 + -35 + 5x + 30x] = 12 Combine like terms: -105 + -35 = -140 3x + -1[-140 + 5x + 30x] = 12 Combine like terms: 5x + 30x = 35x 3x + -1[-140 + 35x] = 12 3x + [-140 * -1 + 35x * -1] = 12 3x + [140 + -35x] = 12 Reorder the terms: 140 + 3x + -35x = 12 Combine like terms: 3x + -35x = -32x 140 + -32x = 12 Solving 140 + -32x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-140' to each side of the equation. 140 + -140 + -32x = 12 + -140 Combine like terms: 140 + -140 = 0 0 + -32x = 12 + -140 -32x = 12 + -140 Combine like terms: 12 + -140 = -128 -32x = -128 Divide each side by '-32'. x = 4 Simplifying x = 4
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