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Simplifying 4(8 + 3x) = -2(2x + -32) (8 * 4 + 3x * 4) = -2(2x + -32) (32 + 12x) = -2(2x + -32) Reorder the terms: 32 + 12x = -2(-32 + 2x) 32 + 12x = (-32 * -2 + 2x * -2) 32 + 12x = (64 + -4x) Solving 32 + 12x = 64 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 32 + 12x + 4x = 64 + -4x + 4x Combine like terms: 12x + 4x = 16x 32 + 16x = 64 + -4x + 4x Combine like terms: -4x + 4x = 0 32 + 16x = 64 + 0 32 + 16x = 64 Add '-32' to each side of the equation. 32 + -32 + 16x = 64 + -32 Combine like terms: 32 + -32 = 0 0 + 16x = 64 + -32 16x = 64 + -32 Combine like terms: 64 + -32 = 32 16x = 32 Divide each side by '16'. x = 2 Simplifying x = 2
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