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Simplifying 10x + 21 + -5x = -35 + -2x Reorder the terms: 21 + 10x + -5x = -35 + -2x Combine like terms: 10x + -5x = 5x 21 + 5x = -35 + -2x Solving 21 + 5x = -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 + 5x + 2x = -35 + -2x + 2x Combine like terms: 5x + 2x = 7x 21 + 7x = -35 + -2x + 2x Combine like terms: -2x + 2x = 0 21 + 7x = -35 + 0 21 + 7x = -35 Add '-21' to each side of the equation. 21 + -21 + 7x = -35 + -21 Combine like terms: 21 + -21 = 0 0 + 7x = -35 + -21 7x = -35 + -21 Combine like terms: -35 + -21 = -56 7x = -56 Divide each side by '7'. x = -8 Simplifying x = -8
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