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Simplifying 5x + -12x + -102 = 35 Reorder the terms: -102 + 5x + -12x = 35 Combine like terms: 5x + -12x = -7x -102 + -7x = 35 Solving -102 + -7x = 35 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '102' to each side of the equation. -102 + 102 + -7x = 35 + 102 Combine like terms: -102 + 102 = 0 0 + -7x = 35 + 102 -7x = 35 + 102 Combine like terms: 35 + 102 = 137 -7x = 137 Divide each side by '-7'. x = -19.57142857 Simplifying x = -19.57142857
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