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Simplifying 9(3x + 10) + -20x = 2x + 115 Reorder the terms: 9(10 + 3x) + -20x = 2x + 115 (10 * 9 + 3x * 9) + -20x = 2x + 115 (90 + 27x) + -20x = 2x + 115 Combine like terms: 27x + -20x = 7x 90 + 7x = 2x + 115 Reorder the terms: 90 + 7x = 115 + 2x Solving 90 + 7x = 115 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 90 + 7x + -2x = 115 + 2x + -2x Combine like terms: 7x + -2x = 5x 90 + 5x = 115 + 2x + -2x Combine like terms: 2x + -2x = 0 90 + 5x = 115 + 0 90 + 5x = 115 Add '-90' to each side of the equation. 90 + -90 + 5x = 115 + -90 Combine like terms: 90 + -90 = 0 0 + 5x = 115 + -90 5x = 115 + -90 Combine like terms: 115 + -90 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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