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Simplifying 8(x + -8) + -11 = 25x + -279 Reorder the terms: 8(-8 + x) + -11 = 25x + -279 (-8 * 8 + x * 8) + -11 = 25x + -279 (-64 + 8x) + -11 = 25x + -279 Reorder the terms: -64 + -11 + 8x = 25x + -279 Combine like terms: -64 + -11 = -75 -75 + 8x = 25x + -279 Reorder the terms: -75 + 8x = -279 + 25x Solving -75 + 8x = -279 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. -75 + 8x + -25x = -279 + 25x + -25x Combine like terms: 8x + -25x = -17x -75 + -17x = -279 + 25x + -25x Combine like terms: 25x + -25x = 0 -75 + -17x = -279 + 0 -75 + -17x = -279 Add '75' to each side of the equation. -75 + 75 + -17x = -279 + 75 Combine like terms: -75 + 75 = 0 0 + -17x = -279 + 75 -17x = -279 + 75 Combine like terms: -279 + 75 = -204 -17x = -204 Divide each side by '-17'. x = 12 Simplifying x = 12
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