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Simplifying 10x + 3[5 + 6(x + 2)] = -5 Reorder the terms: 10x + 3[5 + 6(2 + x)] = -5 10x + 3[5 + (2 * 6 + x * 6)] = -5 10x + 3[5 + (12 + 6x)] = -5 Combine like terms: 5 + 12 = 17 10x + 3[17 + 6x] = -5 10x + [17 * 3 + 6x * 3] = -5 10x + [51 + 18x] = -5 Reorder the terms: 51 + 10x + 18x = -5 Combine like terms: 10x + 18x = 28x 51 + 28x = -5 Solving 51 + 28x = -5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-51' to each side of the equation. 51 + -51 + 28x = -5 + -51 Combine like terms: 51 + -51 = 0 0 + 28x = -5 + -51 28x = -5 + -51 Combine like terms: -5 + -51 = -56 28x = -56 Divide each side by '28'. x = -2 Simplifying x = -2
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