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Simplifying 2x + 27 = 12x + -23 Reorder the terms: 27 + 2x = 12x + -23 Reorder the terms: 27 + 2x = -23 + 12x Solving 27 + 2x = -23 + 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 + 2x + -12x = -23 + 12x + -12x Combine like terms: 2x + -12x = -10x 27 + -10x = -23 + 12x + -12x Combine like terms: 12x + -12x = 0 27 + -10x = -23 + 0 27 + -10x = -23 Add '-27' to each side of the equation. 27 + -27 + -10x = -23 + -27 Combine like terms: 27 + -27 = 0 0 + -10x = -23 + -27 -10x = -23 + -27 Combine like terms: -23 + -27 = -50 -10x = -50 Divide each side by '-10'. x = 5 Simplifying x = 5
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