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Simplifying 5(2x + 1) + 4(x + 3) = 0 Reorder the terms: 5(1 + 2x) + 4(x + 3) = 0 (1 * 5 + 2x * 5) + 4(x + 3) = 0 (5 + 10x) + 4(x + 3) = 0 Reorder the terms: 5 + 10x + 4(3 + x) = 0 5 + 10x + (3 * 4 + x * 4) = 0 5 + 10x + (12 + 4x) = 0 Reorder the terms: 5 + 12 + 10x + 4x = 0 Combine like terms: 5 + 12 = 17 17 + 10x + 4x = 0 Combine like terms: 10x + 4x = 14x 17 + 14x = 0 Solving 17 + 14x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 14x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 14x = 0 + -17 14x = 0 + -17 Combine like terms: 0 + -17 = -17 14x = -17 Divide each side by '14'. x = -1.214285714 Simplifying x = -1.214285714
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