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Simplifying 2[1 + -1(-8x + -4)] = 32x + 18 Reorder the terms: 2[1 + -1(-4 + -8x)] = 32x + 18 2[1 + (-4 * -1 + -8x * -1)] = 32x + 18 2[1 + (4 + 8x)] = 32x + 18 Combine like terms: 1 + 4 = 5 2[5 + 8x] = 32x + 18 [5 * 2 + 8x * 2] = 32x + 18 [10 + 16x] = 32x + 18 Reorder the terms: 10 + 16x = 18 + 32x Solving 10 + 16x = 18 + 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. 10 + 16x + -32x = 18 + 32x + -32x Combine like terms: 16x + -32x = -16x 10 + -16x = 18 + 32x + -32x Combine like terms: 32x + -32x = 0 10 + -16x = 18 + 0 10 + -16x = 18 Add '-10' to each side of the equation. 10 + -10 + -16x = 18 + -10 Combine like terms: 10 + -10 = 0 0 + -16x = 18 + -10 -16x = 18 + -10 Combine like terms: 18 + -10 = 8 -16x = 8 Divide each side by '-16'. x = -0.5 Simplifying x = -0.5
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