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Simplifying -17 = 8(x + 6) + 5x Reorder the terms: -17 = 8(6 + x) + 5x -17 = (6 * 8 + x * 8) + 5x -17 = (48 + 8x) + 5x Combine like terms: 8x + 5x = 13x -17 = 48 + 13x Solving -17 = 48 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -17 + -13x = 48 + 13x + -13x Combine like terms: 13x + -13x = 0 -17 + -13x = 48 + 0 -17 + -13x = 48 Add '17' to each side of the equation. -17 + 17 + -13x = 48 + 17 Combine like terms: -17 + 17 = 0 0 + -13x = 48 + 17 -13x = 48 + 17 Combine like terms: 48 + 17 = 65 -13x = 65 Divide each side by '-13'. x = -5 Simplifying x = -5
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