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Simplifying 17(2 + -1x) + -5(x + 12) = 8(1 + -7x) (2 * 17 + -1x * 17) + -5(x + 12) = 8(1 + -7x) (34 + -17x) + -5(x + 12) = 8(1 + -7x) Reorder the terms: 34 + -17x + -5(12 + x) = 8(1 + -7x) 34 + -17x + (12 * -5 + x * -5) = 8(1 + -7x) 34 + -17x + (-60 + -5x) = 8(1 + -7x) Reorder the terms: 34 + -60 + -17x + -5x = 8(1 + -7x) Combine like terms: 34 + -60 = -26 -26 + -17x + -5x = 8(1 + -7x) Combine like terms: -17x + -5x = -22x -26 + -22x = 8(1 + -7x) -26 + -22x = (1 * 8 + -7x * 8) -26 + -22x = (8 + -56x) Solving -26 + -22x = 8 + -56x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '56x' to each side of the equation. -26 + -22x + 56x = 8 + -56x + 56x Combine like terms: -22x + 56x = 34x -26 + 34x = 8 + -56x + 56x Combine like terms: -56x + 56x = 0 -26 + 34x = 8 + 0 -26 + 34x = 8 Add '26' to each side of the equation. -26 + 26 + 34x = 8 + 26 Combine like terms: -26 + 26 = 0 0 + 34x = 8 + 26 34x = 8 + 26 Combine like terms: 8 + 26 = 34 34x = 34 Divide each side by '34'. x = 1 Simplifying x = 1
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