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Simplifying 5(45x + 135) = 36(45x + 45) Reorder the terms: 5(135 + 45x) = 36(45x + 45) (135 * 5 + 45x * 5) = 36(45x + 45) (675 + 225x) = 36(45x + 45) Reorder the terms: 675 + 225x = 36(45 + 45x) 675 + 225x = (45 * 36 + 45x * 36) 675 + 225x = (1620 + 1620x) Solving 675 + 225x = 1620 + 1620x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1620x' to each side of the equation. 675 + 225x + -1620x = 1620 + 1620x + -1620x Combine like terms: 225x + -1620x = -1395x 675 + -1395x = 1620 + 1620x + -1620x Combine like terms: 1620x + -1620x = 0 675 + -1395x = 1620 + 0 675 + -1395x = 1620 Add '-675' to each side of the equation. 675 + -675 + -1395x = 1620 + -675 Combine like terms: 675 + -675 = 0 0 + -1395x = 1620 + -675 -1395x = 1620 + -675 Combine like terms: 1620 + -675 = 945 -1395x = 945 Divide each side by '-1395'. x = -0.6774193548 Simplifying x = -0.6774193548
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