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Simplifying -13 + 12x = 10x + 21 Reorder the terms: -13 + 12x = 21 + 10x Solving -13 + 12x = 21 + 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 + 12x + -10x = 21 + 10x + -10x Combine like terms: 12x + -10x = 2x -13 + 2x = 21 + 10x + -10x Combine like terms: 10x + -10x = 0 -13 + 2x = 21 + 0 -13 + 2x = 21 Add '13' to each side of the equation. -13 + 13 + 2x = 21 + 13 Combine like terms: -13 + 13 = 0 0 + 2x = 21 + 13 2x = 21 + 13 Combine like terms: 21 + 13 = 34 2x = 34 Divide each side by '2'. x = 17 Simplifying x = 17
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