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Simplifying 8(x + 1) + -6(x + -1) = 25 Reorder the terms: 8(1 + x) + -6(x + -1) = 25 (1 * 8 + x * 8) + -6(x + -1) = 25 (8 + 8x) + -6(x + -1) = 25 Reorder the terms: 8 + 8x + -6(-1 + x) = 25 8 + 8x + (-1 * -6 + x * -6) = 25 8 + 8x + (6 + -6x) = 25 Reorder the terms: 8 + 6 + 8x + -6x = 25 Combine like terms: 8 + 6 = 14 14 + 8x + -6x = 25 Combine like terms: 8x + -6x = 2x 14 + 2x = 25 Solving 14 + 2x = 25 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 2x = 25 + -14 Combine like terms: 14 + -14 = 0 0 + 2x = 25 + -14 2x = 25 + -14 Combine like terms: 25 + -14 = 11 2x = 11 Divide each side by '2'. x = 5.5 Simplifying x = 5.5
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