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Simplifying 12 + -7x = 52 + 35x Solving 12 + -7x = 52 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. 12 + -7x + -35x = 52 + 35x + -35x Combine like terms: -7x + -35x = -42x 12 + -42x = 52 + 35x + -35x Combine like terms: 35x + -35x = 0 12 + -42x = 52 + 0 12 + -42x = 52 Add '-12' to each side of the equation. 12 + -12 + -42x = 52 + -12 Combine like terms: 12 + -12 = 0 0 + -42x = 52 + -12 -42x = 52 + -12 Combine like terms: 52 + -12 = 40 -42x = 40 Divide each side by '-42'. x = -0.9523809524 Simplifying x = -0.9523809524
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