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Simplifying 5(4x + 9) + 7x + -13 = 0 Reorder the terms: 5(9 + 4x) + 7x + -13 = 0 (9 * 5 + 4x * 5) + 7x + -13 = 0 (45 + 20x) + 7x + -13 = 0 Reorder the terms: 45 + -13 + 20x + 7x = 0 Combine like terms: 45 + -13 = 32 32 + 20x + 7x = 0 Combine like terms: 20x + 7x = 27x 32 + 27x = 0 Solving 32 + 27x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 27x = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 27x = 0 + -32 27x = 0 + -32 Combine like terms: 0 + -32 = -32 27x = -32 Divide each side by '27'. x = -1.185185185 Simplifying x = -1.185185185
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