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Simplifying 2[6 + -1(-2x + -8)] = 32x + 140 Reorder the terms: 2[6 + -1(-8 + -2x)] = 32x + 140 2[6 + (-8 * -1 + -2x * -1)] = 32x + 140 2[6 + (8 + 2x)] = 32x + 140 Combine like terms: 6 + 8 = 14 2[14 + 2x] = 32x + 140 [14 * 2 + 2x * 2] = 32x + 140 [28 + 4x] = 32x + 140 Reorder the terms: 28 + 4x = 140 + 32x Solving 28 + 4x = 140 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. 28 + 4x + -32x = 140 + 32x + -32x Combine like terms: 4x + -32x = -28x 28 + -28x = 140 + 32x + -32x Combine like terms: 32x + -32x = 0 28 + -28x = 140 + 0 28 + -28x = 140 Add '-28' to each side of the equation. 28 + -28 + -28x = 140 + -28 Combine like terms: 28 + -28 = 0 0 + -28x = 140 + -28 -28x = 140 + -28 Combine like terms: 140 + -28 = 112 -28x = 112 Divide each side by '-28'. x = -4 Simplifying x = -4
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