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Simplifying 8x + -1(3x + 5) = 2x + 12 Reorder the terms: 8x + -1(5 + 3x) = 2x + 12 8x + (5 * -1 + 3x * -1) = 2x + 12 8x + (-5 + -3x) = 2x + 12 Reorder the terms: -5 + 8x + -3x = 2x + 12 Combine like terms: 8x + -3x = 5x -5 + 5x = 2x + 12 Reorder the terms: -5 + 5x = 12 + 2x Solving -5 + 5x = 12 + 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 + 5x + -2x = 12 + 2x + -2x Combine like terms: 5x + -2x = 3x -5 + 3x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 -5 + 3x = 12 + 0 -5 + 3x = 12 Add '5' to each side of the equation. -5 + 5 + 3x = 12 + 5 Combine like terms: -5 + 5 = 0 0 + 3x = 12 + 5 3x = 12 + 5 Combine like terms: 12 + 5 = 17 3x = 17 Divide each side by '3'. x = 5.666666667 Simplifying x = 5.666666667
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