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Simplifying 8(x + -8) = 6(x + -9) Reorder the terms: 8(-8 + x) = 6(x + -9) (-8 * 8 + x * 8) = 6(x + -9) (-64 + 8x) = 6(x + -9) Reorder the terms: -64 + 8x = 6(-9 + x) -64 + 8x = (-9 * 6 + x * 6) -64 + 8x = (-54 + 6x) Solving -64 + 8x = -54 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -64 + 8x + -6x = -54 + 6x + -6x Combine like terms: 8x + -6x = 2x -64 + 2x = -54 + 6x + -6x Combine like terms: 6x + -6x = 0 -64 + 2x = -54 + 0 -64 + 2x = -54 Add '64' to each side of the equation. -64 + 64 + 2x = -54 + 64 Combine like terms: -64 + 64 = 0 0 + 2x = -54 + 64 2x = -54 + 64 Combine like terms: -54 + 64 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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