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Simplifying 42x + -17 = 6(x + 2) + 1 Reorder the terms: -17 + 42x = 6(x + 2) + 1 Reorder the terms: -17 + 42x = 6(2 + x) + 1 -17 + 42x = (2 * 6 + x * 6) + 1 -17 + 42x = (12 + 6x) + 1 Reorder the terms: -17 + 42x = 12 + 1 + 6x Combine like terms: 12 + 1 = 13 -17 + 42x = 13 + 6x Solving -17 + 42x = 13 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -17 + 42x + -6x = 13 + 6x + -6x Combine like terms: 42x + -6x = 36x -17 + 36x = 13 + 6x + -6x Combine like terms: 6x + -6x = 0 -17 + 36x = 13 + 0 -17 + 36x = 13 Add '17' to each side of the equation. -17 + 17 + 36x = 13 + 17 Combine like terms: -17 + 17 = 0 0 + 36x = 13 + 17 36x = 13 + 17 Combine like terms: 13 + 17 = 30 36x = 30 Divide each side by '36'. x = 0.8333333333 Simplifying x = 0.8333333333
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