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Simplifying 8x + 31x + 8 = 42x + -1 Reorder the terms: 8 + 8x + 31x = 42x + -1 Combine like terms: 8x + 31x = 39x 8 + 39x = 42x + -1 Reorder the terms: 8 + 39x = -1 + 42x Solving 8 + 39x = -1 + 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. 8 + 39x + -42x = -1 + 42x + -42x Combine like terms: 39x + -42x = -3x 8 + -3x = -1 + 42x + -42x Combine like terms: 42x + -42x = 0 8 + -3x = -1 + 0 8 + -3x = -1 Add '-8' to each side of the equation. 8 + -8 + -3x = -1 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = -1 + -8 -3x = -1 + -8 Combine like terms: -1 + -8 = -9 -3x = -9 Divide each side by '-3'. x = 3 Simplifying x = 3
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