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Simplifying 6x + -5(1 + -8x) = 39 + 2x 6x + (1 * -5 + -8x * -5) = 39 + 2x 6x + (-5 + 40x) = 39 + 2x Reorder the terms: -5 + 6x + 40x = 39 + 2x Combine like terms: 6x + 40x = 46x -5 + 46x = 39 + 2x Solving -5 + 46x = 39 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -5 + 46x + -2x = 39 + 2x + -2x Combine like terms: 46x + -2x = 44x -5 + 44x = 39 + 2x + -2x Combine like terms: 2x + -2x = 0 -5 + 44x = 39 + 0 -5 + 44x = 39 Add '5' to each side of the equation. -5 + 5 + 44x = 39 + 5 Combine like terms: -5 + 5 = 0 0 + 44x = 39 + 5 44x = 39 + 5 Combine like terms: 39 + 5 = 44 44x = 44 Divide each side by '44'. x = 1 Simplifying x = 1
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