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Simplifying 45(x + 6) = 35 + -10 Reorder the terms: 45(6 + x) = 35 + -10 (6 * 45 + x * 45) = 35 + -10 (270 + 45x) = 35 + -10 Combine like terms: 35 + -10 = 25 270 + 45x = 25 Solving 270 + 45x = 25 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-270' to each side of the equation. 270 + -270 + 45x = 25 + -270 Combine like terms: 270 + -270 = 0 0 + 45x = 25 + -270 45x = 25 + -270 Combine like terms: 25 + -270 = -245 45x = -245 Divide each side by '45'. x = -5.444444444 Simplifying x = -5.444444444
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