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Simplifying 8x + -1(34) = 5x + 2 Multiply -1 * 34 8x + -34 = 5x + 2 Reorder the terms: -34 + 8x = 5x + 2 Reorder the terms: -34 + 8x = 2 + 5x Solving -34 + 8x = 2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -34 + 8x + -5x = 2 + 5x + -5x Combine like terms: 8x + -5x = 3x -34 + 3x = 2 + 5x + -5x Combine like terms: 5x + -5x = 0 -34 + 3x = 2 + 0 -34 + 3x = 2 Add '34' to each side of the equation. -34 + 34 + 3x = 2 + 34 Combine like terms: -34 + 34 = 0 0 + 3x = 2 + 34 3x = 2 + 34 Combine like terms: 2 + 34 = 36 3x = 36 Divide each side by '3'. x = 12 Simplifying x = 12
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