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Simplifying 8 + -7x = 178 + -42x Solving 8 + -7x = 178 + -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. 8 + -7x + 42x = 178 + -42x + 42x Combine like terms: -7x + 42x = 35x 8 + 35x = 178 + -42x + 42x Combine like terms: -42x + 42x = 0 8 + 35x = 178 + 0 8 + 35x = 178 Add '-8' to each side of the equation. 8 + -8 + 35x = 178 + -8 Combine like terms: 8 + -8 = 0 0 + 35x = 178 + -8 35x = 178 + -8 Combine like terms: 178 + -8 = 170 35x = 170 Divide each side by '35'. x = 4.857142857 Simplifying x = 4.857142857
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