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Simplifying 42x + 1 = 3(9 + -1x) Reorder the terms: 1 + 42x = 3(9 + -1x) 1 + 42x = (9 * 3 + -1x * 3) 1 + 42x = (27 + -3x) Solving 1 + 42x = 27 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 1 + 42x + 3x = 27 + -3x + 3x Combine like terms: 42x + 3x = 45x 1 + 45x = 27 + -3x + 3x Combine like terms: -3x + 3x = 0 1 + 45x = 27 + 0 1 + 45x = 27 Add '-1' to each side of the equation. 1 + -1 + 45x = 27 + -1 Combine like terms: 1 + -1 = 0 0 + 45x = 27 + -1 45x = 27 + -1 Combine like terms: 27 + -1 = 26 45x = 26 Divide each side by '45'. x = 0.5777777778 Simplifying x = 0.5777777778
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