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Simplifying 8(x + -8) = 12x + 5(x + 7) Reorder the terms: 8(-8 + x) = 12x + 5(x + 7) (-8 * 8 + x * 8) = 12x + 5(x + 7) (-64 + 8x) = 12x + 5(x + 7) Reorder the terms: -64 + 8x = 12x + 5(7 + x) -64 + 8x = 12x + (7 * 5 + x * 5) -64 + 8x = 12x + (35 + 5x) Reorder the terms: -64 + 8x = 35 + 12x + 5x Combine like terms: 12x + 5x = 17x -64 + 8x = 35 + 17x Solving -64 + 8x = 35 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. -64 + 8x + -17x = 35 + 17x + -17x Combine like terms: 8x + -17x = -9x -64 + -9x = 35 + 17x + -17x Combine like terms: 17x + -17x = 0 -64 + -9x = 35 + 0 -64 + -9x = 35 Add '64' to each side of the equation. -64 + 64 + -9x = 35 + 64 Combine like terms: -64 + 64 = 0 0 + -9x = 35 + 64 -9x = 35 + 64 Combine like terms: 35 + 64 = 99 -9x = 99 Divide each side by '-9'. x = -11 Simplifying x = -11
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