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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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