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Simplifying 8x + -17 = 5(1 + 6x) Reorder the terms: -17 + 8x = 5(1 + 6x) -17 + 8x = (1 * 5 + 6x * 5) -17 + 8x = (5 + 30x) Solving -17 + 8x = 5 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -17 + 8x + -30x = 5 + 30x + -30x Combine like terms: 8x + -30x = -22x -17 + -22x = 5 + 30x + -30x Combine like terms: 30x + -30x = 0 -17 + -22x = 5 + 0 -17 + -22x = 5 Add '17' to each side of the equation. -17 + 17 + -22x = 5 + 17 Combine like terms: -17 + 17 = 0 0 + -22x = 5 + 17 -22x = 5 + 17 Combine like terms: 5 + 17 = 22 -22x = 22 Divide each side by '-22'. x = -1 Simplifying x = -1
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