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Simplifying 12 + -10x = 52 + -45x Solving 12 + -10x = 52 + -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. 12 + -10x + 45x = 52 + -45x + 45x Combine like terms: -10x + 45x = 35x 12 + 35x = 52 + -45x + 45x Combine like terms: -45x + 45x = 0 12 + 35x = 52 + 0 12 + 35x = 52 Add '-12' to each side of the equation. 12 + -12 + 35x = 52 + -12 Combine like terms: 12 + -12 = 0 0 + 35x = 52 + -12 35x = 52 + -12 Combine like terms: 52 + -12 = 40 35x = 40 Divide each side by '35'. x = 1.142857143 Simplifying x = 1.142857143
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