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Simplifying 8(x + 2) + -5 = 5x + 17 Reorder the terms: 8(2 + x) + -5 = 5x + 17 (2 * 8 + x * 8) + -5 = 5x + 17 (16 + 8x) + -5 = 5x + 17 Reorder the terms: 16 + -5 + 8x = 5x + 17 Combine like terms: 16 + -5 = 11 11 + 8x = 5x + 17 Reorder the terms: 11 + 8x = 17 + 5x Solving 11 + 8x = 17 + 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. 11 + 8x + -5x = 17 + 5x + -5x Combine like terms: 8x + -5x = 3x 11 + 3x = 17 + 5x + -5x Combine like terms: 5x + -5x = 0 11 + 3x = 17 + 0 11 + 3x = 17 Add '-11' to each side of the equation. 11 + -11 + 3x = 17 + -11 Combine like terms: 11 + -11 = 0 0 + 3x = 17 + -11 3x = 17 + -11 Combine like terms: 17 + -11 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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