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Simplifying 2x + 13 + 11x + -12 = x + 47 Reorder the terms: 13 + -12 + 2x + 11x = x + 47 Combine like terms: 13 + -12 = 1 1 + 2x + 11x = x + 47 Combine like terms: 2x + 11x = 13x 1 + 13x = x + 47 Reorder the terms: 1 + 13x = 47 + x Solving 1 + 13x = 47 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 1 + 13x + -1x = 47 + x + -1x Combine like terms: 13x + -1x = 12x 1 + 12x = 47 + x + -1x Combine like terms: x + -1x = 0 1 + 12x = 47 + 0 1 + 12x = 47 Add '-1' to each side of the equation. 1 + -1 + 12x = 47 + -1 Combine like terms: 1 + -1 = 0 0 + 12x = 47 + -1 12x = 47 + -1 Combine like terms: 47 + -1 = 46 12x = 46 Divide each side by '12'. x = 3.833333333 Simplifying x = 3.833333333
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