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Simplifying 3x + 27 = 12x + -18 Reorder the terms: 27 + 3x = 12x + -18 Reorder the terms: 27 + 3x = -18 + 12x Solving 27 + 3x = -18 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 27 + 3x + -12x = -18 + 12x + -12x Combine like terms: 3x + -12x = -9x 27 + -9x = -18 + 12x + -12x Combine like terms: 12x + -12x = 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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