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Simplifying 2x + 26 = 12x + -24 Reorder the terms: 26 + 2x = 12x + -24 Reorder the terms: 26 + 2x = -24 + 12x Solving 26 + 2x = -24 + 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. 26 + 2x + -12x = -24 + 12x + -12x Combine like terms: 2x + -12x = -10x 26 + -10x = -24 + 12x + -12x Combine like terms: 12x + -12x = 0 26 + -10x = -24 + 0 26 + -10x = -24 Add '-26' to each side of the equation. 26 + -26 + -10x = -24 + -26 Combine like terms: 26 + -26 = 0 0 + -10x = -24 + -26 -10x = -24 + -26 Combine like terms: -24 + -26 = -50 -10x = -50 Divide each side by '-10'. x = 5 Simplifying x = 5
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