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Simplifying 8x + -1(1 + x) = 14 + -8x 8x + (1 * -1 + x * -1) = 14 + -8x 8x + (-1 + -1x) = 14 + -8x Reorder the terms: -1 + 8x + -1x = 14 + -8x Combine like terms: 8x + -1x = 7x -1 + 7x = 14 + -8x Solving -1 + 7x = 14 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -1 + 7x + 8x = 14 + -8x + 8x Combine like terms: 7x + 8x = 15x -1 + 15x = 14 + -8x + 8x Combine like terms: -8x + 8x = 0 -1 + 15x = 14 + 0 -1 + 15x = 14 Add '1' to each side of the equation. -1 + 1 + 15x = 14 + 1 Combine like terms: -1 + 1 = 0 0 + 15x = 14 + 1 15x = 14 + 1 Combine like terms: 14 + 1 = 15 15x = 15 Divide each side by '15'. x = 1 Simplifying x = 1
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