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Simplifying 2x + 27 = 5x + -18 Reorder the terms: 27 + 2x = 5x + -18 Reorder the terms: 27 + 2x = -18 + 5x Solving 27 + 2x = -18 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 27 + 2x + -5x = -18 + 5x + -5x Combine like terms: 2x + -5x = -3x 27 + -3x = -18 + 5x + -5x Combine like terms: 5x + -5x = 0 27 + -3x = -18 + 0 27 + -3x = -18 Add '-27' to each side of the equation. 27 + -27 + -3x = -18 + -27 Combine like terms: 27 + -27 = 0 0 + -3x = -18 + -27 -3x = -18 + -27 Combine like terms: -18 + -27 = -45 -3x = -45 Divide each side by '-3'. x = 15 Simplifying x = 15
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