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Simplifying 64(x + -6) = 72(x + -5) Reorder the terms: 64(-6 + x) = 72(x + -5) (-6 * 64 + x * 64) = 72(x + -5) (-384 + 64x) = 72(x + -5) Reorder the terms: -384 + 64x = 72(-5 + x) -384 + 64x = (-5 * 72 + x * 72) -384 + 64x = (-360 + 72x) Solving -384 + 64x = -360 + 72x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-72x' to each side of the equation. -384 + 64x + -72x = -360 + 72x + -72x Combine like terms: 64x + -72x = -8x -384 + -8x = -360 + 72x + -72x Combine like terms: 72x + -72x = 0 -384 + -8x = -360 + 0 -384 + -8x = -360 Add '384' to each side of the equation. -384 + 384 + -8x = -360 + 384 Combine like terms: -384 + 384 = 0 0 + -8x = -360 + 384 -8x = -360 + 384 Combine like terms: -360 + 384 = 24 -8x = 24 Divide each side by '-8'. x = -3 Simplifying x = -3
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