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Simplifying 35x + 10 = 2x + 175 Reorder the terms: 10 + 35x = 2x + 175 Reorder the terms: 10 + 35x = 175 + 2x Solving 10 + 35x = 175 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 10 + 35x + -2x = 175 + 2x + -2x Combine like terms: 35x + -2x = 33x 10 + 33x = 175 + 2x + -2x Combine like terms: 2x + -2x = 0 10 + 33x = 175 + 0 10 + 33x = 175 Add '-10' to each side of the equation. 10 + -10 + 33x = 175 + -10 Combine like terms: 10 + -10 = 0 0 + 33x = 175 + -10 33x = 175 + -10 Combine like terms: 175 + -10 = 165 33x = 165 Divide each side by '33'. x = 5 Simplifying x = 5
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