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Simplifying 2(4x + 16) = -5(2x + 4) Reorder the terms: 2(16 + 4x) = -5(2x + 4) (16 * 2 + 4x * 2) = -5(2x + 4) (32 + 8x) = -5(2x + 4) Reorder the terms: 32 + 8x = -5(4 + 2x) 32 + 8x = (4 * -5 + 2x * -5) 32 + 8x = (-20 + -10x) Solving 32 + 8x = -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. 32 + 8x + 10x = -20 + -10x + 10x Combine like terms: 8x + 10x = 18x 32 + 18x = -20 + -10x + 10x Combine like terms: -10x + 10x = 0 32 + 18x = -20 + 0 32 + 18x = -20 Add '-32' to each side of the equation. 32 + -32 + 18x = -20 + -32 Combine like terms: 32 + -32 = 0 0 + 18x = -20 + -32 18x = -20 + -32 Combine like terms: -20 + -32 = -52 18x = -52 Divide each side by '18'. x = -2.888888889 Simplifying x = -2.888888889
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