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Simplifying 11x + 5 = 3x + -12 + 7x Reorder the terms: 5 + 11x = 3x + -12 + 7x Reorder the terms: 5 + 11x = -12 + 3x + 7x Combine like terms: 3x + 7x = 10x 5 + 11x = -12 + 10x Solving 5 + 11x = -12 + 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. 5 + 11x + -10x = -12 + 10x + -10x Combine like terms: 11x + -10x = 1x 5 + 1x = -12 + 10x + -10x Combine like terms: 10x + -10x = 0 5 + 1x = -12 + 0 5 + 1x = -12 Add '-5' to each side of the equation. 5 + -5 + 1x = -12 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = -12 + -5 1x = -12 + -5 Combine like terms: -12 + -5 = -17 1x = -17 Divide each side by '1'. x = -17 Simplifying x = -17
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