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Simplifying 5(2x + 1) + 2(3x + 4) = 0 Reorder the terms: 5(1 + 2x) + 2(3x + 4) = 0 (1 * 5 + 2x * 5) + 2(3x + 4) = 0 (5 + 10x) + 2(3x + 4) = 0 Reorder the terms: 5 + 10x + 2(4 + 3x) = 0 5 + 10x + (4 * 2 + 3x * 2) = 0 5 + 10x + (8 + 6x) = 0 Reorder the terms: 5 + 8 + 10x + 6x = 0 Combine like terms: 5 + 8 = 13 13 + 10x + 6x = 0 Combine like terms: 10x + 6x = 16x 13 + 16x = 0 Solving 13 + 16x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 16x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 16x = 0 + -13 16x = 0 + -13 Combine like terms: 0 + -13 = -13 16x = -13 Divide each side by '16'. x = -0.8125 Simplifying x = -0.8125
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