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Simplifying 2x + 13 = 47 + -10x Reorder the terms: 13 + 2x = 47 + -10x Solving 13 + 2x = 47 + -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. 13 + 2x + 10x = 47 + -10x + 10x Combine like terms: 2x + 10x = 12x 13 + 12x = 47 + -10x + 10x Combine like terms: -10x + 10x = 0 13 + 12x = 47 + 0 13 + 12x = 47 Add '-13' to each side of the equation. 13 + -13 + 12x = 47 + -13 Combine like terms: 13 + -13 = 0 0 + 12x = 47 + -13 12x = 47 + -13 Combine like terms: 47 + -13 = 34 12x = 34 Divide each side by '12'. x = 2.833333333 Simplifying x = 2.833333333
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