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Simplifying 7x + 10(4x + 9) = 0 Reorder the terms: 7x + 10(9 + 4x) = 0 7x + (9 * 10 + 4x * 10) = 0 7x + (90 + 40x) = 0 Reorder the terms: 90 + 7x + 40x = 0 Combine like terms: 7x + 40x = 47x 90 + 47x = 0 Solving 90 + 47x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-90' to each side of the equation. 90 + -90 + 47x = 0 + -90 Combine like terms: 90 + -90 = 0 0 + 47x = 0 + -90 47x = 0 + -90 Combine like terms: 0 + -90 = -90 47x = -90 Divide each side by '47'. x = -1.914893617 Simplifying x = -1.914893617
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