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Simplifying 8(3 + -1x) + 2(5x + 3) = 0 (3 * 8 + -1x * 8) + 2(5x + 3) = 0 (24 + -8x) + 2(5x + 3) = 0 Reorder the terms: 24 + -8x + 2(3 + 5x) = 0 24 + -8x + (3 * 2 + 5x * 2) = 0 24 + -8x + (6 + 10x) = 0 Reorder the terms: 24 + 6 + -8x + 10x = 0 Combine like terms: 24 + 6 = 30 30 + -8x + 10x = 0 Combine like terms: -8x + 10x = 2x 30 + 2x = 0 Solving 30 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 2x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 2x = 0 + -30 2x = 0 + -30 Combine like terms: 0 + -30 = -30 2x = -30 Divide each side by '2'. x = -15 Simplifying x = -15
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