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Simplifying 9x + -12 + 18 = 27x + 36 + 6 Reorder the terms: -12 + 18 + 9x = 27x + 36 + 6 Combine like terms: -12 + 18 = 6 6 + 9x = 27x + 36 + 6 Reorder the terms: 6 + 9x = 36 + 6 + 27x Combine like terms: 36 + 6 = 42 6 + 9x = 42 + 27x Solving 6 + 9x = 42 + 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. 6 + 9x + -27x = 42 + 27x + -27x Combine like terms: 9x + -27x = -18x 6 + -18x = 42 + 27x + -27x Combine like terms: 27x + -27x = 0 6 + -18x = 42 + 0 6 + -18x = 42 Add '-6' to each side of the equation. 6 + -6 + -18x = 42 + -6 Combine like terms: 6 + -6 = 0 0 + -18x = 42 + -6 -18x = 42 + -6 Combine like terms: 42 + -6 = 36 -18x = 36 Divide each side by '-18'. x = -2 Simplifying x = -2
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