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Simplifying 10 + -7x = 175 + -42x Solving 10 + -7x = 175 + -42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42x' to each side of the equation. 10 + -7x + 42x = 175 + -42x + 42x Combine like terms: -7x + 42x = 35x 10 + 35x = 175 + -42x + 42x Combine like terms: -42x + 42x = 0 10 + 35x = 175 + 0 10 + 35x = 175 Add '-10' to each side of the equation. 10 + -10 + 35x = 175 + -10 Combine like terms: 10 + -10 = 0 0 + 35x = 175 + -10 35x = 175 + -10 Combine like terms: 175 + -10 = 165 35x = 165 Divide each side by '35'. x = 4.714285714 Simplifying x = 4.714285714
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