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Simplifying 283 + -3x = 42x + 23 Reorder the terms: 283 + -3x = 23 + 42x Solving 283 + -3x = 23 + 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. 283 + -3x + -42x = 23 + 42x + -42x Combine like terms: -3x + -42x = -45x 283 + -45x = 23 + 42x + -42x Combine like terms: 42x + -42x = 0 283 + -45x = 23 + 0 283 + -45x = 23 Add '-283' to each side of the equation. 283 + -283 + -45x = 23 + -283 Combine like terms: 283 + -283 = 0 0 + -45x = 23 + -283 -45x = 23 + -283 Combine like terms: 23 + -283 = -260 -45x = -260 Divide each side by '-45'. x = 5.777777778 Simplifying x = 5.777777778
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