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Simplifying 8(254 + x) + 4(254 + -1x) = 254 (254 * 8 + x * 8) + 4(254 + -1x) = 254 (2032 + 8x) + 4(254 + -1x) = 254 2032 + 8x + (254 * 4 + -1x * 4) = 254 2032 + 8x + (1016 + -4x) = 254 Reorder the terms: 2032 + 1016 + 8x + -4x = 254 Combine like terms: 2032 + 1016 = 3048 3048 + 8x + -4x = 254 Combine like terms: 8x + -4x = 4x 3048 + 4x = 254 Solving 3048 + 4x = 254 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3048' to each side of the equation. 3048 + -3048 + 4x = 254 + -3048 Combine like terms: 3048 + -3048 = 0 0 + 4x = 254 + -3048 4x = 254 + -3048 Combine like terms: 254 + -3048 = -2794 4x = -2794 Divide each side by '4'. x = -698.5 Simplifying x = -698.5
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