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Simplifying 102 + -3x = 42x + 22 Reorder the terms: 102 + -3x = 22 + 42x Solving 102 + -3x = 22 + 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. 102 + -3x + -42x = 22 + 42x + -42x Combine like terms: -3x + -42x = -45x 102 + -45x = 22 + 42x + -42x Combine like terms: 42x + -42x = 0 102 + -45x = 22 + 0 102 + -45x = 22 Add '-102' to each side of the equation. 102 + -102 + -45x = 22 + -102 Combine like terms: 102 + -102 = 0 0 + -45x = 22 + -102 -45x = 22 + -102 Combine like terms: 22 + -102 = -80 -45x = -80 Divide each side by '-45'. x = 1.777777778 Simplifying x = 1.777777778
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