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Simplifying 10x + -5x + 15 = 3x + 21 Reorder the terms: 15 + 10x + -5x = 3x + 21 Combine like terms: 10x + -5x = 5x 15 + 5x = 3x + 21 Reorder the terms: 15 + 5x = 21 + 3x Solving 15 + 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. 15 + 5x + -3x = 21 + 3x + -3x Combine like terms: 5x + -3x = 2x 15 + 2x = 21 + 3x + -3x Combine like terms: 3x + -3x = 0 15 + 2x = 21 + 0 15 + 2x = 21 Add '-15' to each side of the equation. 15 + -15 + 2x = 21 + -15 Combine like terms: 15 + -15 = 0 0 + 2x = 21 + -15 2x = 21 + -15 Combine like terms: 21 + -15 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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