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Simplifying 18x + -12 = 27x + 51 Reorder the terms: -12 + 18x = 27x + 51 Reorder the terms: -12 + 18x = 51 + 27x Solving -12 + 18x = 51 + 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. -12 + 18x + -27x = 51 + 27x + -27x Combine like terms: 18x + -27x = -9x -12 + -9x = 51 + 27x + -27x Combine like terms: 27x + -27x = 0 -12 + -9x = 51 + 0 -12 + -9x = 51 Add '12' to each side of the equation. -12 + 12 + -9x = 51 + 12 Combine like terms: -12 + 12 = 0 0 + -9x = 51 + 12 -9x = 51 + 12 Combine like terms: 51 + 12 = 63 -9x = 63 Divide each side by '-9'. x = -7 Simplifying x = -7
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