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Simplifying 9x + 45 + 6x + 24 = 12x + 36 + 15x + -111 Reorder the terms: 45 + 24 + 9x + 6x = 12x + 36 + 15x + -111 Combine like terms: 45 + 24 = 69 69 + 9x + 6x = 12x + 36 + 15x + -111 Combine like terms: 9x + 6x = 15x 69 + 15x = 12x + 36 + 15x + -111 Reorder the terms: 69 + 15x = 36 + -111 + 12x + 15x Combine like terms: 36 + -111 = -75 69 + 15x = -75 + 12x + 15x Combine like terms: 12x + 15x = 27x 69 + 15x = -75 + 27x Solving 69 + 15x = -75 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. 69 + 15x + -27x = -75 + 27x + -27x Combine like terms: 15x + -27x = -12x 69 + -12x = -75 + 27x + -27x Combine like terms: 27x + -27x = 0 69 + -12x = -75 + 0 69 + -12x = -75 Add '-69' to each side of the equation. 69 + -69 + -12x = -75 + -69 Combine like terms: 69 + -69 = 0 0 + -12x = -75 + -69 -12x = -75 + -69 Combine like terms: -75 + -69 = -144 -12x = -144 Divide each side by '-12'. x = 12 Simplifying x = 12
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