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Simplifying 4[1 + -1(-4x + -2)] = 32x + 20 Reorder the terms: 4[1 + -1(-2 + -4x)] = 32x + 20 4[1 + (-2 * -1 + -4x * -1)] = 32x + 20 4[1 + (2 + 4x)] = 32x + 20 Combine like terms: 1 + 2 = 3 4[3 + 4x] = 32x + 20 [3 * 4 + 4x * 4] = 32x + 20 [12 + 16x] = 32x + 20 Reorder the terms: 12 + 16x = 20 + 32x Solving 12 + 16x = 20 + 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. 12 + 16x + -32x = 20 + 32x + -32x Combine like terms: 16x + -32x = -16x 12 + -16x = 20 + 32x + -32x Combine like terms: 32x + -32x = 0 12 + -16x = 20 + 0 12 + -16x = 20 Add '-12' to each side of the equation. 12 + -12 + -16x = 20 + -12 Combine like terms: 12 + -12 = 0 0 + -16x = 20 + -12 -16x = 20 + -12 Combine like terms: 20 + -12 = 8 -16x = 8 Divide each side by '-16'. x = -0.5 Simplifying x = -0.5
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