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Simplifying 4[x(2 + -5) + -2(-1 + -2x)] = 0 Combine like terms: 2 + -5 = -3 4[x(-3) + -2(-1 + -2x)] = 0 Reorder the terms for easier multiplication: 4[-3x + -2(-1 + -2x)] = 0 4[-3x + (-1 * -2 + -2x * -2)] = 0 4[-3x + (2 + 4x)] = 0 Reorder the terms: 4[2 + -3x + 4x] = 0 Combine like terms: -3x + 4x = 1x 4[2 + 1x] = 0 [2 * 4 + 1x * 4] = 0 [8 + 4x] = 0 Solving 8 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 4x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 4x = 0 + -8 4x = 0 + -8 Combine like terms: 0 + -8 = -8 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
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