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Simplifying 72x + 36 + -12 + -12x = 120 + 45x + -6 Reorder the terms: 36 + -12 + 72x + -12x = 120 + 45x + -6 Combine like terms: 36 + -12 = 24 24 + 72x + -12x = 120 + 45x + -6 Combine like terms: 72x + -12x = 60x 24 + 60x = 120 + 45x + -6 Reorder the terms: 24 + 60x = 120 + -6 + 45x Combine like terms: 120 + -6 = 114 24 + 60x = 114 + 45x Solving 24 + 60x = 114 + 45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45x' to each side of the equation. 24 + 60x + -45x = 114 + 45x + -45x Combine like terms: 60x + -45x = 15x 24 + 15x = 114 + 45x + -45x Combine like terms: 45x + -45x = 0 24 + 15x = 114 + 0 24 + 15x = 114 Add '-24' to each side of the equation. 24 + -24 + 15x = 114 + -24 Combine like terms: 24 + -24 = 0 0 + 15x = 114 + -24 15x = 114 + -24 Combine like terms: 114 + -24 = 90 15x = 90 Divide each side by '15'. x = 6 Simplifying x = 6
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