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Simplifying 4[3 + -1(-2x + -2)] = 32x + 44 Reorder the terms: 4[3 + -1(-2 + -2x)] = 32x + 44 4[3 + (-2 * -1 + -2x * -1)] = 32x + 44 4[3 + (2 + 2x)] = 32x + 44 Combine like terms: 3 + 2 = 5 4[5 + 2x] = 32x + 44 [5 * 4 + 2x * 4] = 32x + 44 [20 + 8x] = 32x + 44 Reorder the terms: 20 + 8x = 44 + 32x Solving 20 + 8x = 44 + 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. 20 + 8x + -32x = 44 + 32x + -32x Combine like terms: 8x + -32x = -24x 20 + -24x = 44 + 32x + -32x Combine like terms: 32x + -32x = 0 20 + -24x = 44 + 0 20 + -24x = 44 Add '-20' to each side of the equation. 20 + -20 + -24x = 44 + -20 Combine like terms: 20 + -20 = 0 0 + -24x = 44 + -20 -24x = 44 + -20 Combine like terms: 44 + -20 = 24 -24x = 24 Divide each side by '-24'. x = -1 Simplifying x = -1
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