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Simplifying 2(8x + 5) = -5(4 + -2x) Reorder the terms: 2(5 + 8x) = -5(4 + -2x) (5 * 2 + 8x * 2) = -5(4 + -2x) (10 + 16x) = -5(4 + -2x) 10 + 16x = (4 * -5 + -2x * -5) 10 + 16x = (-20 + 10x) Solving 10 + 16x = -20 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 10 + 16x + -10x = -20 + 10x + -10x Combine like terms: 16x + -10x = 6x 10 + 6x = -20 + 10x + -10x Combine like terms: 10x + -10x = 0 10 + 6x = -20 + 0 10 + 6x = -20 Add '-10' to each side of the equation. 10 + -10 + 6x = -20 + -10 Combine like terms: 10 + -10 = 0 0 + 6x = -20 + -10 6x = -20 + -10 Combine like terms: -20 + -10 = -30 6x = -30 Divide each side by '6'. x = -5 Simplifying x = -5
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