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Simplifying 17x + -8(x + 3) = 1 + -17x Reorder the terms: 17x + -8(3 + x) = 1 + -17x 17x + (3 * -8 + x * -8) = 1 + -17x 17x + (-24 + -8x) = 1 + -17x Reorder the terms: -24 + 17x + -8x = 1 + -17x Combine like terms: 17x + -8x = 9x -24 + 9x = 1 + -17x Solving -24 + 9x = 1 + -17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17x' to each side of the equation. -24 + 9x + 17x = 1 + -17x + 17x Combine like terms: 9x + 17x = 26x -24 + 26x = 1 + -17x + 17x Combine like terms: -17x + 17x = 0 -24 + 26x = 1 + 0 -24 + 26x = 1 Add '24' to each side of the equation. -24 + 24 + 26x = 1 + 24 Combine like terms: -24 + 24 = 0 0 + 26x = 1 + 24 26x = 1 + 24 Combine like terms: 1 + 24 = 25 26x = 25 Divide each side by '26'. x = 0.9615384615 Simplifying x = 0.9615384615
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