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Simplifying 35(3x + 9) + 30(x + 1) = 42 Reorder the terms: 35(9 + 3x) + 30(x + 1) = 42 (9 * 35 + 3x * 35) + 30(x + 1) = 42 (315 + 105x) + 30(x + 1) = 42 Reorder the terms: 315 + 105x + 30(1 + x) = 42 315 + 105x + (1 * 30 + x * 30) = 42 315 + 105x + (30 + 30x) = 42 Reorder the terms: 315 + 30 + 105x + 30x = 42 Combine like terms: 315 + 30 = 345 345 + 105x + 30x = 42 Combine like terms: 105x + 30x = 135x 345 + 135x = 42 Solving 345 + 135x = 42 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-345' to each side of the equation. 345 + -345 + 135x = 42 + -345 Combine like terms: 345 + -345 = 0 0 + 135x = 42 + -345 135x = 42 + -345 Combine like terms: 42 + -345 = -303 135x = -303 Divide each side by '135'. x = -2.244444444 Simplifying x = -2.244444444
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