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Simplifying 2(4x + 7) + 5(x + 2) = 0 Reorder the terms: 2(7 + 4x) + 5(x + 2) = 0 (7 * 2 + 4x * 2) + 5(x + 2) = 0 (14 + 8x) + 5(x + 2) = 0 Reorder the terms: 14 + 8x + 5(2 + x) = 0 14 + 8x + (2 * 5 + x * 5) = 0 14 + 8x + (10 + 5x) = 0 Reorder the terms: 14 + 10 + 8x + 5x = 0 Combine like terms: 14 + 10 = 24 24 + 8x + 5x = 0 Combine like terms: 8x + 5x = 13x 24 + 13x = 0 Solving 24 + 13x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 13x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 13x = 0 + -24 13x = 0 + -24 Combine like terms: 0 + -24 = -24 13x = -24 Divide each side by '13'. x = -1.846153846 Simplifying x = -1.846153846
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