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Simplifying 39x + -1(x + 5) = 8x + -2 Reorder the terms: 39x + -1(5 + x) = 8x + -2 39x + (5 * -1 + x * -1) = 8x + -2 39x + (-5 + -1x) = 8x + -2 Reorder the terms: -5 + 39x + -1x = 8x + -2 Combine like terms: 39x + -1x = 38x -5 + 38x = 8x + -2 Reorder the terms: -5 + 38x = -2 + 8x Solving -5 + 38x = -2 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -5 + 38x + -8x = -2 + 8x + -8x Combine like terms: 38x + -8x = 30x -5 + 30x = -2 + 8x + -8x Combine like terms: 8x + -8x = 0 -5 + 30x = -2 + 0 -5 + 30x = -2 Add '5' to each side of the equation. -5 + 5 + 30x = -2 + 5 Combine like terms: -5 + 5 = 0 0 + 30x = -2 + 5 30x = -2 + 5 Combine like terms: -2 + 5 = 3 30x = 3 Divide each side by '30'. x = 0.1 Simplifying x = 0.1
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