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Simplifying 18 + 2x = 2(-5x + 27) Reorder the terms: 18 + 2x = 2(27 + -5x) 18 + 2x = (27 * 2 + -5x * 2) 18 + 2x = (54 + -10x) Solving 18 + 2x = 54 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 18 + 2x + 10x = 54 + -10x + 10x Combine like terms: 2x + 10x = 12x 18 + 12x = 54 + -10x + 10x Combine like terms: -10x + 10x = 0 18 + 12x = 54 + 0 18 + 12x = 54 Add '-18' to each side of the equation. 18 + -18 + 12x = 54 + -18 Combine like terms: 18 + -18 = 0 0 + 12x = 54 + -18 12x = 54 + -18 Combine like terms: 54 + -18 = 36 12x = 36 Divide each side by '12'. x = 3 Simplifying x = 3
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