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Simplifying 10x + -5 + 2 = 7x + 21 Reorder the terms: -5 + 2 + 10x = 7x + 21 Combine like terms: -5 + 2 = -3 -3 + 10x = 7x + 21 Reorder the terms: -3 + 10x = 21 + 7x Solving -3 + 10x = 21 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -3 + 10x + -7x = 21 + 7x + -7x Combine like terms: 10x + -7x = 3x -3 + 3x = 21 + 7x + -7x Combine like terms: 7x + -7x = 0 -3 + 3x = 21 + 0 -3 + 3x = 21 Add '3' to each side of the equation. -3 + 3 + 3x = 21 + 3 Combine like terms: -3 + 3 = 0 0 + 3x = 21 + 3 3x = 21 + 3 Combine like terms: 21 + 3 = 24 3x = 24 Divide each side by '3'. x = 8 Simplifying x = 8
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