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Simplifying 2(x + 16) + 3(2x + 5) = 0 Reorder the terms: 2(16 + x) + 3(2x + 5) = 0 (16 * 2 + x * 2) + 3(2x + 5) = 0 (32 + 2x) + 3(2x + 5) = 0 Reorder the terms: 32 + 2x + 3(5 + 2x) = 0 32 + 2x + (5 * 3 + 2x * 3) = 0 32 + 2x + (15 + 6x) = 0 Reorder the terms: 32 + 15 + 2x + 6x = 0 Combine like terms: 32 + 15 = 47 47 + 2x + 6x = 0 Combine like terms: 2x + 6x = 8x 47 + 8x = 0 Solving 47 + 8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-47' to each side of the equation. 47 + -47 + 8x = 0 + -47 Combine like terms: 47 + -47 = 0 0 + 8x = 0 + -47 8x = 0 + -47 Combine like terms: 0 + -47 = -47 8x = -47 Divide each side by '8'. x = -5.875 Simplifying x = -5.875
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