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Simplifying 10x + 21 = 35 + -2x Reorder the terms: 21 + 10x = 35 + -2x Solving 21 + 10x = 35 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 21 + 10x + 2x = 35 + -2x + 2x Combine like terms: 10x + 2x = 12x 21 + 12x = 35 + -2x + 2x Combine like terms: -2x + 2x = 0 21 + 12x = 35 + 0 21 + 12x = 35 Add '-21' to each side of the equation. 21 + -21 + 12x = 35 + -21 Combine like terms: 21 + -21 = 0 0 + 12x = 35 + -21 12x = 35 + -21 Combine like terms: 35 + -21 = 14 12x = 14 Divide each side by '12'. x = 1.166666667 Simplifying x = 1.166666667
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