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Simplifying 45(x + 6) = 35x + -3 Reorder the terms: 45(6 + x) = 35x + -3 (6 * 45 + x * 45) = 35x + -3 (270 + 45x) = 35x + -3 Reorder the terms: 270 + 45x = -3 + 35x Solving 270 + 45x = -3 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. 270 + 45x + -35x = -3 + 35x + -35x Combine like terms: 45x + -35x = 10x 270 + 10x = -3 + 35x + -35x Combine like terms: 35x + -35x = 0 270 + 10x = -3 + 0 270 + 10x = -3 Add '-270' to each side of the equation. 270 + -270 + 10x = -3 + -270 Combine like terms: 270 + -270 = 0 0 + 10x = -3 + -270 10x = -3 + -270 Combine like terms: -3 + -270 = -273 10x = -273 Divide each side by '10'. x = -27.3 Simplifying x = -27.3
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