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Simplifying 6x + -27 = 15x + 18 Reorder the terms: -27 + 6x = 15x + 18 Reorder the terms: -27 + 6x = 18 + 15x Solving -27 + 6x = 18 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -27 + 6x + -15x = 18 + 15x + -15x Combine like terms: 6x + -15x = -9x -27 + -9x = 18 + 15x + -15x Combine like terms: 15x + -15x = 0 -27 + -9x = 18 + 0 -27 + -9x = 18 Add '27' to each side of the equation. -27 + 27 + -9x = 18 + 27 Combine like terms: -27 + 27 = 0 0 + -9x = 18 + 27 -9x = 18 + 27 Combine like terms: 18 + 27 = 45 -9x = 45 Divide each side by '-9'. x = -5 Simplifying x = -5
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