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Simplifying 5 + -7x = 45 + -42x Solving 5 + -7x = 45 + -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. 5 + -7x + 42x = 45 + -42x + 42x Combine like terms: -7x + 42x = 35x 5 + 35x = 45 + -42x + 42x Combine like terms: -42x + 42x = 0 5 + 35x = 45 + 0 5 + 35x = 45 Add '-5' to each side of the equation. 5 + -5 + 35x = 45 + -5 Combine like terms: 5 + -5 = 0 0 + 35x = 45 + -5 35x = 45 + -5 Combine like terms: 45 + -5 = 40 35x = 40 Divide each side by '35'. x = 1.142857143 Simplifying x = 1.142857143
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