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Simplifying 4(2x + 5) = -2(2x + -16) Reorder the terms: 4(5 + 2x) = -2(2x + -16) (5 * 4 + 2x * 4) = -2(2x + -16) (20 + 8x) = -2(2x + -16) Reorder the terms: 20 + 8x = -2(-16 + 2x) 20 + 8x = (-16 * -2 + 2x * -2) 20 + 8x = (32 + -4x) Solving 20 + 8x = 32 + -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. 20 + 8x + 4x = 32 + -4x + 4x Combine like terms: 8x + 4x = 12x 20 + 12x = 32 + -4x + 4x Combine like terms: -4x + 4x = 0 20 + 12x = 32 + 0 20 + 12x = 32 Add '-20' to each side of the equation. 20 + -20 + 12x = 32 + -20 Combine like terms: 20 + -20 = 0 0 + 12x = 32 + -20 12x = 32 + -20 Combine like terms: 32 + -20 = 12 12x = 12 Divide each side by '12'. x = 1 Simplifying x = 1
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