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Simplifying 5x + 5 + -8 = 3x + 21 Reorder the terms: 5 + -8 + 5x = 3x + 21 Combine like terms: 5 + -8 = -3 -3 + 5x = 3x + 21 Reorder the terms: -3 + 5x = 21 + 3x Solving -3 + 5x = 21 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -3 + 5x + -3x = 21 + 3x + -3x Combine like terms: 5x + -3x = 2x -3 + 2x = 21 + 3x + -3x Combine like terms: 3x + -3x = 0 -3 + 2x = 21 + 0 -3 + 2x = 21 Add '3' to each side of the equation. -3 + 3 + 2x = 21 + 3 Combine like terms: -3 + 3 = 0 0 + 2x = 21 + 3 2x = 21 + 3 Combine like terms: 21 + 3 = 24 2x = 24 Divide each side by '2'. x = 12 Simplifying x = 12
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