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Simplifying 6x + 12 + -8x = 72 + 10x Reorder the terms: 12 + 6x + -8x = 72 + 10x Combine like terms: 6x + -8x = -2x 12 + -2x = 72 + 10x Solving 12 + -2x = 72 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 12 + -2x + -10x = 72 + 10x + -10x Combine like terms: -2x + -10x = -12x 12 + -12x = 72 + 10x + -10x Combine like terms: 10x + -10x = 0 12 + -12x = 72 + 0 12 + -12x = 72 Add '-12' to each side of the equation. 12 + -12 + -12x = 72 + -12 Combine like terms: 12 + -12 = 0 0 + -12x = 72 + -12 -12x = 72 + -12 Combine like terms: 72 + -12 = 60 -12x = 60 Divide each side by '-12'. x = -5 Simplifying x = -5
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