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Simplifying 9x + -12 + 18 = 27x + 36 + 42 Reorder the terms: -12 + 18 + 9x = 27x + 36 + 42 Combine like terms: -12 + 18 = 6 6 + 9x = 27x + 36 + 42 Reorder the terms: 6 + 9x = 36 + 42 + 27x Combine like terms: 36 + 42 = 78 6 + 9x = 78 + 27x Solving 6 + 9x = 78 + 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 = 78 + 27x + -27x Combine like terms: 9x + -27x = -18x 6 + -18x = 78 + 27x + -27x Combine like terms: 27x + -27x = 0 6 + -18x = 78 + 0 6 + -18x = 78 Add '-6' to each side of the equation. 6 + -6 + -18x = 78 + -6 Combine like terms: 6 + -6 = 0 0 + -18x = 78 + -6 -18x = 78 + -6 Combine like terms: 78 + -6 = 72 -18x = 72 Divide each side by '-18'. x = -4 Simplifying x = -4
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