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Simplifying 7 + -10x = 47 + -45x Solving 7 + -10x = 47 + -45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45x' to each side of the equation. 7 + -10x + 45x = 47 + -45x + 45x Combine like terms: -10x + 45x = 35x 7 + 35x = 47 + -45x + 45x Combine like terms: -45x + 45x = 0 7 + 35x = 47 + 0 7 + 35x = 47 Add '-7' to each side of the equation. 7 + -7 + 35x = 47 + -7 Combine like terms: 7 + -7 = 0 0 + 35x = 47 + -7 35x = 47 + -7 Combine like terms: 47 + -7 = 40 35x = 40 Divide each side by '35'. x = 1.142857143 Simplifying x = 1.142857143
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