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Simplifying 3(x + 10) + 5(x + 2) = 0 Reorder the terms: 3(10 + x) + 5(x + 2) = 0 (10 * 3 + x * 3) + 5(x + 2) = 0 (30 + 3x) + 5(x + 2) = 0 Reorder the terms: 30 + 3x + 5(2 + x) = 0 30 + 3x + (2 * 5 + x * 5) = 0 30 + 3x + (10 + 5x) = 0 Reorder the terms: 30 + 10 + 3x + 5x = 0 Combine like terms: 30 + 10 = 40 40 + 3x + 5x = 0 Combine like terms: 3x + 5x = 8x 40 + 8x = 0 Solving 40 + 8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 8x = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 8x = 0 + -40 8x = 0 + -40 Combine like terms: 0 + -40 = -40 8x = -40 Divide each side by '8'. x = -5 Simplifying x = -5
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