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Simplifying 35(1 + 3x) + 35(2 + -1x) = 35(11) (1 * 35 + 3x * 35) + 35(2 + -1x) = 35(11) (35 + 105x) + 35(2 + -1x) = 35(11) 35 + 105x + (2 * 35 + -1x * 35) = 35(11) 35 + 105x + (70 + -35x) = 35(11) Reorder the terms: 35 + 70 + 105x + -35x = 35(11) Combine like terms: 35 + 70 = 105 105 + 105x + -35x = 35(11) Combine like terms: 105x + -35x = 70x 105 + 70x = 35(11) Multiply 35 * 11 105 + 70x = 385 Solving 105 + 70x = 385 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-105' to each side of the equation. 105 + -105 + 70x = 385 + -105 Combine like terms: 105 + -105 = 0 0 + 70x = 385 + -105 70x = 385 + -105 Combine like terms: 385 + -105 = 280 70x = 280 Divide each side by '70'. x = 4 Simplifying x = 4
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