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Simplifying 8x + -1(1 + -5x) = 17 + 7x 8x + (1 * -1 + -5x * -1) = 17 + 7x 8x + (-1 + 5x) = 17 + 7x Reorder the terms: -1 + 8x + 5x = 17 + 7x Combine like terms: 8x + 5x = 13x -1 + 13x = 17 + 7x Solving -1 + 13x = 17 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -1 + 13x + -7x = 17 + 7x + -7x Combine like terms: 13x + -7x = 6x -1 + 6x = 17 + 7x + -7x Combine like terms: 7x + -7x = 0 -1 + 6x = 17 + 0 -1 + 6x = 17 Add '1' to each side of the equation. -1 + 1 + 6x = 17 + 1 Combine like terms: -1 + 1 = 0 0 + 6x = 17 + 1 6x = 17 + 1 Combine like terms: 17 + 1 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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