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Simplifying 4[8 + -1(-2x + -2)] = 32x + 64 Reorder the terms: 4[8 + -1(-2 + -2x)] = 32x + 64 4[8 + (-2 * -1 + -2x * -1)] = 32x + 64 4[8 + (2 + 2x)] = 32x + 64 Combine like terms: 8 + 2 = 10 4[10 + 2x] = 32x + 64 [10 * 4 + 2x * 4] = 32x + 64 [40 + 8x] = 32x + 64 Reorder the terms: 40 + 8x = 64 + 32x Solving 40 + 8x = 64 + 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. 40 + 8x + -32x = 64 + 32x + -32x Combine like terms: 8x + -32x = -24x 40 + -24x = 64 + 32x + -32x Combine like terms: 32x + -32x = 0 40 + -24x = 64 + 0 40 + -24x = 64 Add '-40' to each side of the equation. 40 + -40 + -24x = 64 + -40 Combine like terms: 40 + -40 = 0 0 + -24x = 64 + -40 -24x = 64 + -40 Combine like terms: 64 + -40 = 24 -24x = 24 Divide each side by '-24'. x = -1 Simplifying x = -1
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